Sharp EL-9650, EL-9400, EL-9600c User Manual

Graphing Calculator

EL-9650/9600c/9450/9400

Handbook Vol. 1

Algebra

EL-9650 EL-9450

Contents

1. Linear Equations

1-1 1-2

2. Quadratic Equations

2-1 2-2

3. Literal Equations

3-1 3-2 3-3

4. Polynomials

4-1 4-2

5. A System of Equations

5-1

Slope and Intercept of Linear Equations Parallel and Perpendicular Lines

Slope and Intercept of Quadratic Equations Shifting a Graph of Quadratic Equations

Solving a Literal Equation Using the Equation Method (Amortization) Solving a Literal Equation Using the Graphic Method (Volume of a Cylinder) Solving a Literal Equation Using Newton’s Method (Area of a Trapezoid)

Graphing Polynomials and Tracing to Find the Roots Graphing Polynomials and Jumping to Find the Roots

Solving a System of Equations by Graphing or Tool Feature

6. Matrix Solutions

6-1 6-2

Entering and Multiplying Matrices Solving a System of Linear Equations Using Matrices

7. Inequalities

7-1 7-2 7-3 7-4

Solving Inequalities Solving Double Inequalities System of Two-Variable Inequalities Graphing Solution Region of Inequalities

8. Absolute Value Functions, Equations, Inequalities

8-1 8-2 8-3 8-4 8-5

Slope and Intercept of Absolute Value Functions Shifting a graph of Absolute Value Functions Solving Absolute Value Equations Solving Absolute Value Inequalities Evaluating Absolute Value Functions

9. Rational Functions

9-1 9-2

Graphing Rational Functions Solving Rational Function Inequalities

10. Conic Sections

10-1 10-2 10-3 10-4

Graphing Parabolas Graphing Circles Graphing Ellipses Graphing Hyperbolas

Read this first

1. Always read “Before Starting”

The key operations of the set up condition are written in “Before Starting” in each section. It is essential to follow the instructions in order to display the screens as they appear in the handbook.

2. Set Up Condition

As key operations for this handbook are conducted from the initial condition, reset all memories to the initial condition beforehand.

2nd F

OPTION

Note: Since all memories will be deleted, it is advised to use the CE-LK1P PC link kit (sold

separately) to back up any programmes not to be erased, or to return the settings to the initial

condition (cf. 3. Initial Settings below) and to erase the data of the function to be used.

•

To delete a single data, press

• Other keys to delete data: : to erase equations and remove error displays

: to cancel previous function

2nd F

QUIT

2nd F

OPTION

and select data to be deleted from the menu.

3. Initial settings

Initial settings are as follows:

✩

Set up (

✩

Format (

✩

Stat Plot (

✩

Shade (

✩

Zoom (

✩

Period (

✩

Note:

returns to the default setting in the following operation.

(

2nd F

)

OPTION

): Rad, FloatPt, 9, Rect, Decimal(Real), Equation

SET UP

2nd F

): RectCoord, OFF, OFF, Connect, Sequen

2nd F

FORMAT

): 2. PlotOFF

STAT PLOT

2nd F

): 2. INITIAL

2nd F

): 5. Default

ZOOM

): 1. PmtEnd

2nd F

DRAW

FINANCE

ENTER

4. Using the keys

Press to use secondary functions (in yellow).

2nd F

To select “sin

Press to use the alphabet keys (in blue).

ALPHA

To select A:

-1

”: ➔ Displayed as follows:

2nd F

sin

➔ Displayed as follows:

sin

ALPHA

2nd F

ALPHA

sin

-1

5. Notes

•

Some features are provided only on the EL-9650/9600c and not on the EL-9450/9400. (Substi-

tution, Solver, Matrix, Tool etc.)

•

As this handbook is only an example of how to use the EL-9650/9600c and 9450/9400,

please refer to the manual for further details.

Using this Handbook

This handbook was produced for practical application of the SHARP EL-9650/9600c and EL-9450/9400 Graphing Calculator based on exercise examples received from teachers actively engaged in teaching. It can be used with minimal preparation in a variety of situations such as classroom presentations, and also as a self-study reference book.

Introduction

Explanation of the section

Example

Example of a problem to be solved in the section

Before Starting

Important notes to read before operating the calculator

Step & Key Operation

A clear step-by-step guide to solving the problems

Display

Illustrations of the calculator

Slope and Intercept of Quadratic Equations

A quadratic equation of y in terms of x can be expressed by the standard form y = a (x -h)2+ k, where a is the coefficient of the second degree term ( y = ax vertex of the parabola formed by the quadratic equation. An equation where the largest exponent on the independent variable x is 2 is considered a quadratic equation. In graphing quadratic equations on the calculator, let the x- variable be represented by the horizontal axis and let y be represented by the vertical axis. The graph can be adjusted by varying the coefficients a, h, and k.

Example

Graph various quadratic equations and check the relation between the graphs and the values of coefficients of the equations.

Graph y = x2 and y = (x-2)2.

Graph y = x2 and y = x2+2.

Graph y = x2 and y = 2x2.

Graph y = x2 and y = -2x2.

There may be differences in the results of calculations and graph plotting depending on the setting.

Before

Return all settings to the default value and delete all data.

Starting

As the Substitution feature is only available on the EL-9650/9600c, this section does not apply to the EL-9450/9400.

Step & Key Operation

*Use either pen touch or cursor to operate.

Enter the equation y = x2 for Y1.

/θ/T/

Enter the equation y = (x-2)2 for Y2

using Sub feature.

ENTER

ENTER ENTER

ALPHA

2nd F

ENTER

SUB

( )

ENTER

View both graphs.

GRAPH

EL-9650/9600c Graphing Calculator

*Use either pen touch or cursor to operate.

Change the equation in Y2 to y = x2+2.

ENTER ENTER

View both graphs.

GRAPH

Display

Change the equation in Y2 to y = 2x2.

ENTER

View both graphs.

GRAPH

Change the equation in Y2 to y = -2x

This shows that placing an h (>0) within the standard form y = a (x - h) h units and placing an h (<0) will move it left h units on the x-axis.

ENTER

View both graphs.

GRAPH

screen for each step

The EL-9650/9600c/9450/9400 allows various quadratic equations to be graphed easily. Also the characteristics of quadratic equations can be visually shown through the relationship between the changes of coefficient values and their

Merits of Using the EL-9650/9600c/9450/9400

graphs, using the Substitution feature.

2-1

Highlights the main functions of the calculator relevant to the section

+ bx + c) and (h, k) is the

Step & Key Operation

2nd F

SUB

Notes

2nd F

SUB

ENTER

Notice that the addition of -2 within the quadratic operation moves the basic y =x right two units (adding 2 moves

it left two units) on the x-axis.

(-)

2nd F

SUB

ENTER

+ k will move the basic graph right

Notes

Explains the process of each step in the key operations

EL-9650/9600c Graphing Calculator

Display

fact that adding k (>0) within the standard form y = a (x -

+ K will move the basic graph up K units and placing k

h) (<0) willmove the basic graph down K units on the y axis.

graph

2-1

ing an a (<-1) in the standard form y = a (x - h) will pinch or close the basic graph and flip it (reflect it) across the x-axis.

Notes

Notice that the addition of 2 moves

graph up two units

the basic y =x and the addition of -2 moves the basic graph down two units on the

y-axis.

This demonstrates the

Notice that the multiplication of 2 pinches or closes the basic

y=x

graph. This demonstrates the fact that multiplying an a (> 1) in the standard form

(x - h)

+ k

will pinch or close

the basic graph.

Notice that the multiplication of

-2 pinches or closes the basic y =

x2 graph and flips it (reflects it) across the x-axis. This demonstrates the fact that multiply-

y = a

+ k

• When you see the sign

means same series of key strokes can be done with screen touch on the EL-9650/9600c.

( * : for the corresponding key; Key operations may also be carried out with the cursor (not shown).

•

Different key appearance for the EL-9450/9400: for example

on the key:

: for the corresponding keys underlined.)

X/ /T/

➔

X/T

We would like to express our deepest gratitude to all the teachers whose cooperation we received in editing this book. We aim to produce a handbook which is more replete and useful to everyone, so any comments or ideas on exercises will be welcomed.

(Use the attached blank sheet to create and contribute your own mathematical problems.)

Thanks to Dr. David P. Lawrence at Southwestern Oklahoma State University for the use of his teaching resource book (Applying Pre-Algebra/Algebra using the SHARP EL-9650/9600c Graphing Calculator).

Other books available: Graphing Calculator EL-9450/9400 TEACHERS’ GUIDE

EL-9650/9600c/9450/9400 Graphing Calculator

Slope and Intercept of Linear Equations

A linear equation of y in terms of x can be expressed by the slope-intercept form y = mx+b, where m is the slope and b is the y- intercept. We call this equation a linear equation since its graph is a straight line. Equations where the exponents on the x and y are 1 (implied) are considered linear equations. In graphing linear equations on the calculator, we will let the x variable be represented by the horizontal axis and let y be represented by the vertical axis.

Example

Draw graphs of two equations by changing the slope or the y- intercept.

1. Graph the equations y = x and y = 2x.

2. Graph the equations y = x and y = x.

3. Graph the equations y = x and y = - x.

4. Graph the equations y = x and y = x + 2.

1 2

Before

Starting

*Use either pen touch or cursor to operate.

1-1

There may be differences in the results of calculations and graph plotting depending on the setting. Return all settings to the default value and delete all data.

(When using EL-9650/9600c)

Display

(When using EL-9650/9600c)

NotesStep & Key Operation

Enter the equation y = x for Y1 and y = 2x for Y2.

1-2

ENTER

/T/n

View both graphs.

/T/n

The equation Y1 = x is displayed first, followed by the

GRAPH

equation Y2 = 2x. Notice how Y2 becomes steeper or climbs faster. Increase the size of the slope (m>1) to make the line steeper.

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2-1

Enter the equation y = x for Y2.

1 2

2-2

Y= CL

View both graphs.

GRAPH

/T/n

Notice how Y2 becomes less steep or climbs slower. Decrease the size of the slope (0<m<1) to make the line less steep.

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1-1

EL-9650/9600c/9450/9400 Graphing Calculator

Notes

3-1

3-2

Step & Key Operation

(When using EL-9650/9600c)

*Use either pen touch or cursor to operate.

Enter the equation y = - x for Y2.

(-)

/T/n

View both graphs.

GRAPH

Display

(When using EL-9650/9600c)

Notice how Y2 decreases (going down from left to right) instead of increasing (going up from left to right). Negative slopes (m<0) make the line decrease or go down from left to right.

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4-1

Enter the equation y = x + 2 for Y2.

Y= CL + 2

/T/n

4-2

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View both graphs.

GRAPH

Adding 2 will shift the y = x graph upwards.

Making a graph is easy, and quick comparison of several graphs will help students understand the characteristics of linear equations.

1-1

EL-9650/9600c/9450/9400 Graphing Calculator

P arallel and Perpendicular Lines

Parallel and perpendicular lines can be drawn by changing the slope of the linear equation and the y intercept. A linear equation of y in terms of x can be expressed by the slopeintercept form y = mx + b, where m is the slope and b is the y-intercept. Parallel lines have an equal slope with different y-intercepts. Perpendicular lines have slopes that are negative reciprocals of each other (m = - ). These characteristics can be verified by graphing these lines.

Example

Graph parallel lines and perpendicular lines.

1. Graph the equations y = 3x + 1 and y = 3x + 2.

2. Graph the equations y = 3x - 1 and y = - x + 1.

Before

Starting

*Use either pen touch or cursor to operate.

1-1

There may be differences in the results of calculations and graph plotting depending on the setting. Return all settings to the default value and delete all data.

Set the zoom to the decimal window: * (

ZOOM

ENTER

Display

(When using EL-9650/9600c)

ALPHA

)

NotesStep & Key Operation

Enter the equations y = 3x + 1 for Y1 and y = 3x + 2 for Y2.

1-2

View the graphs.

/T/n

ENTER

These lines have an equal slope but different y-intercepts.

GRAPH

They are called parallel, and will not intersect.

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2-1

Enter the equations y = 3x - 1 for Y1 and y = - x + 1 for Y2.

Y= CL

(-)

/T/n

—

ENTER

/T/n

1-2

EL-9650/9600c/9450/9400 Graphing Calculator

Notes

2-2

Step & Key Operation

(When using EL-9650/9600c)

*Use either pen touch or cursor to operate.

View the graphs.

GRAPH

Display

(When using EL-9650/9600c)

These lines have slopes that are negative reciprocals of

each other (m = - ). They are called perpendicular. Note that

these intersecting lines form four equal angles.

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The Graphing Calculators can be used to draw parallel or perpendicular lines while learning the slope or y-intercept of linear equations.

1-2

EL-9650/9600c Graphing Calculator

S lope and I nter cept of Quadratic Equations

A quadratic equation of y in terms of x can be expressed by the standard form y = a (x - h)2+ k, where a is the coefficient of the second degree term (y = ax2 + bx + c) and (h, k) is the vertex of the parabola formed by the quadratic equation. An equation where the largest exponent on the independent variable x is 2 is considered a quadratic equation. In graphing quadratic equations on the calculator, let the x-variable be represented by the horizontal axis and let y be represented by the vertical axis. The graph can be adjusted by varying the coefficients a, h, and k.

Example

Graph various quadratic equations and check the relation between the graphs and the values of coefficients of the equations.

1. Graph y = x

2. Graph y = x

3. Graph y = x

4. Graph y = x

Before

Starting

Step & Key Operation

*Use either pen touch or cursor to operate.

1-1

1-2

Enter the equation y = x2 for Y1.

Enter the equation y = (x - 2)2 for Y2 using Sub feature.

ALPHA

2nd F

and y = (x - 2)2.

and y = x2 + 2.

and y = 2x2.

and y = -2x2.

There may be differences in the results of calculations and graph plotting depending on the setting. Return all settings to the default value and delete all data.

Notes

/T/n

SUB

ENTER ENTER

ENTER

Display

ENTER

( )

ENTER

1-3

View both graphs.

GRAPH

Notice that the addition of -2

within the quadratic operation

moves the basic y = x

graph right two units (adding 2 moves it left two units) on the x-axis.

This shows that placing an h (>0) within the standard form y = a (x - h)

+ k will move the basic graph right h units and placing an h (<0) will move it left h units on the x-axis.

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2-1

EL-9650/9600c Graphing Calculator

Notes

x2 graph up two units

2-1

2-2

Step & Key Operation

*Use either pen touch or cursor to operate.

Change the equation in Y2 to y =

ENTER ENTER

2nd F

SUB

View both graphs.

GRAPH

Display

x2+2.

Notice that the addition of 2 moves the basic y = and the addition of -2 moves the basic graph down two units on the y-axis. This demonstrates the

fact that adding k (>0) within the standard form y = a (x -

+ k will move the basic graph up k units and placing k

h) (<0) will move the basic graph down k units on the y-axis.

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3-1

Change the equation in Y2 to y = 2

2nd F

ENTER

SUB

ENTER

x2.

3-2

View both graphs.

Notice that the multiplication of 2 pinches or closes the basic

graph. This demonstrates

GRAPH

y = x

the fact that multiplying an a (> 1) in the standard form (x - h)2 + k

will pinch or close

y = a

the basic graph.

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4-1

Change the equation in Y2 to y = -2x2.

4-2

ENTER

View both graphs.

2nd F SUB

(-)

Notice that the multiplication of

-2 pinches or closes the basic y =

GRAPH

x2 graph and flips it (reflects

it) across the x-axis. This demonstrates the fact that multiply-

ing an a (<-1) in the standard form y = a (x - h)

+ k

will pinch or close the basic graph and flip it (reflect it) across the x-axis.

○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○

2-1

The EL-9650/9600c allows various quadratic equations to be graphed easily. Also the characteristics of quadratic equations can be visually shown through the relationship between the changes of coefficient values and their graphs, using the Substitution feature.

EL-9650/9600c/9450/9400 Graphing Calculator

Shifting a Graph of Quadratic Equations

A quadratic equation of y in terms of x can be expressed by the standard form y = a (x - h)2 + k, where a is the coefficient of the second degree term (y = a of the parabola formed by the quadratic equation. An equation where the largest exponent on the independent variable x is 2 is considered a quadratic equation. In graphing quadratic equations on the calculator, let the x-variable be represented by the horizontal axis and let y be represented by the vertical axis. The relation of an equation and its graph can be seen by moving the graph and checking the coefficients of the equation.

Example

Move or pinch a graph of quadratic equation y = x2 to verify the relation between the coefficients of the equation and the graph.

1. Shift the graph y = x

2. Shift the graph y = x

3. Pinch the slope of the graph y = x

upward by 2.

to the right by 3.

x2 + bx + c) and (h, k) is the vertex

Before

Starting

*Use either pen touch or cursor to operate.

There may be differences in the results of calculations and graph plotting depending on the setting. Return all settings to the default value and delete all data.

(When using EL-9650/9600c)

1-1 Access Shift feature and select the

ENTER

1-2

1-3

equation y = x

2nd F

SHIFT/CHANGE

Move the graph y = x2 upward by 2.

Save the new graph and observe the changes in the graph and the equation.

ENTER

ALPHA

Display

(When using EL-9650/9600c)

Notice that upward movement of the basic y =

units in the direction of the y- axis means addition of 2 to the

y-intercept. This demonstrates that upward movement of the graph by k units means adding a k (>0) in the standard form y = a(x - h)

NotesStep & Key Operation

graph by 2

+ k.

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2-2

EL-9650/9600c/9450/9400 Graphing Calculator

Notes

graph to the right

2-1

2-2

Step & Key Operation

(When using EL-9650/9600c)

*Use either pen touch or cursor to operate.

Move the graph y = x2 to the right by 3.

(three times)

ENTER

Save the new graph and observe the changes in the graph and the equation

Display

(When using EL-9650/9600c)

Notice that movement of the basic y = x by 3 units in the direction of the x-axis is equivalent to the

ENTER

ALPHA

addition of 3 to the x -intercept. This demonstrates that movement of the graph to the right means adding an h (>0) in the standard form

y = a (x - h)

+ k and movement to the left means

subtracting an h (<0).

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3-1

Access Change feature and select the equation y = x2.

3-2

3-3

2nd F

SHIFT/CHANGE

Pinch the slope of the graph.

ENTER

Save the new graph and observe the changes in the graph and the equation.

ENTER

ALPHA

Notice that pinching or

closing the basic y =

graph

is equivalent to increasing an a (>1) within the standard

form y = a (x - h)

+ k and broadening the graph is equivalent to decreasing an a (<1).

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The Shift/Change feature of the EL-9650/9600c/9450/9400 allows visual understanding of how graph changes affect the form of quadratic equations.

2-2

EL-9650/9600c Graphing Calculator

Solving a Literal Equation Using the Equation Method

(Amortization)

The Solver mode is used to solve one unknown variable by inputting known variables, by three methods: Equation, Newton’s, and Graphic. The Equation method is used when an exact solution can be found by simple substitution.

Example

Solve an amortization formula. The solution from various values for known variables can be easily found by giving values to the known variables using the Equation method in the Solver mode.

-1

-N

The formula : P = L

1-(1+ )

I / 12

P= monthly payment L= loan amount

I= interest rate N=number of months

1. Find the monthly payment on a $15,000 car loan, made at 9% interest over four

years (48 months) using the Equation method.

2. Save the formula as “AMORT”.

3. Find amount of loan possible at 7% interest over 60 months with a $300

payment, using the saved formula.

Before

Starting

1-1

1-2

1-3

There may be differences in the results of calculations and graph plotting depending on the setting. Return all settings to the default value and delete all data.

*Use either pen touch or cursor to operate.

Access the Solver feature.

Display

This screen will appear a few

NotesStep & Key Operation

seconds after “SOLVER” is dis-

2nd F

SOL VER

played.

Select the Equation method for solving.

SOL VER

2nd F

Enter the amortization formula.

SOL VER

2nd F

/b+(1

—

ALPHA

(

ALPHA

(-)

ALPHA

(-)

)

3-1

EL-9650/9600c Graphing Calculator

Notes

1-4

Step & Key Operation

*Use either pen touch or cursor to operate.

Enter the values L=15,000,

Display

I=0.09, N=48.

15000

•09 4

The monthly payment (P) is

1-5

ENTER

ENTER ENTER

ENTER

Solve for the payment(P).

$373.28.

( )

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2-1

Save this formula.

2nd F

SOL VER

2nd F EXE

ENTER

2-2

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3-1

3-2

Give the formula the name AMORT.

AMOR T

ENTER

Recall the amortization formula.

SOL VER

2nd F

Enter the values: P = 300, I = 0.01, N = 60

3-3

ENTER ENTER ENTER

•01 61

Solve for the loan (L).

300

ENTERENTER

The amount of loan (L) is $17550.28.

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2nd F EXE

With the Equation Editor , the EL-9650/9600c displays equations, even complicated ones, as they appear in the textbook in easy to understand format. Also it is easy to find the solution for unknown variables by recalling a stored equation and giving values to the known variables in the Solver mode when using the EL-9650/9600c.

3-1

EL-9650/9600c Graphing Calculator

Solving a Literal Equation Using the Graphic Method

(Volume of a Cylinder)

The Solver mode is used to solve one unknown variable by inputting known variables. There are three methods: Equation, Newton’s, and Graphic. The Equation method is used when an exact solution can be found by simple substitution. Newton’s method implements an iterative approach to find the solution once a starting point is given. When a starting point is unavailable or multiple solutions are expected, use the Graphic method. This method plots the left and right sides of the equation and then locates the intersection(s).

Example

Use the Graphic method to find the radius of a cylinder giving the range of the unknown variable.

The formula : V = πr2h ( V = volume r = radius h = height)

1. Find the radius of a cylinder with a volume of 30in

and a height of 10in, using

the Graphic method.

2. Save the formula as “V CYL”.

3. Find the radius of a cylinder with a volume of 200in

using the saved formula.

and a height of 15in,

Before

Starting

1-1

1-2

1-3

There may be differences in the results of calculations and graph plotting depending on the setting. Return all settings to the default value and delete all data.

*Use either pen touch or cursor to operate.

Access the Solver feature.

2nd F

SOL VER

Select the Graphic method for solving.

2nd F

SOL VER

Enter the formula V = πr2h.

ALPHA

2nd F

=ALPHA ALPHA ALPHA

Display

NotesStep & Key Operation

This screen will appear a few seconds after “SOLVER” is displayed.

1-4

Enter the values: V = 30, H = 10. Solve for the radius (R).

ENTER

2nd F EXE

3-2

EL-9650/9600c Graphing Calculator

Notes

Step & Key Operation

*Use either pen touch or cursor to operate.

1-5

Set the variable range from 0 to 2.

ENTER

Display

The graphic solver will prompt with a variable range for solving.

r2 = = <3 r =1 ➞ r2 = 12 = 1 <3

r =2 ➞ r2 = 22 = 4 >3

Use the larger of the values to be safe.

1-6

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Solve.

2nd F EXE

(

)

The solver feature will graph the left side of the equation (volume, y = 30), then the right side of the equation (y = 10r

and finally will calculate the intersection of the two graphs to find the solution. The radius is 0.98 in.

Save this formula. Give the formula the name “V CYL”.

2nd F

SOL VER

SPACE

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3-1

3-2

Recall the formula. Enter the values: V = 200, H = 15.

2nd F

SOL VER

ENTER ENTER ENTER

ENTER

Solve the radius setting the variable range from 0 to 4.

ENTER

B01

ENTER

0020

200π 14

r2 = = < 14

r = 3 ➞ r2 = 32 = 9 < 14

2nd F EXE

ENTER 2nd F EXE

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ENTER

r = 4 ➞ r2 = 42 = 16 > 14

Use 4, the larger of the values, to be safe. The answer is : r = 2.06

One very useful feature of the calculator is its ability to store and recall equations. The solution from various values for known variables can be easily obtained by recalling an equation which has been stored and giving values to the known variables. The Graphic method gives a visual solution by drawing a graph.

3-2

EL-9650/9600c Graphing Calculator

Solving a Literal Equation Using Newton's Method (Area of a Trapezoid)

The Solver mode is used to solve one unknown variable by inputting known variables. There are three methods: Equation, Newton’s, and Graphic. The Newton’s method can be used for more complicated equations. This method implements an iterative approach to find the solution once a starting point is given.

Example

Find the height of a trapezoid from the formula for calculating the area of a trapezoid using Newton’s method.

The formula : A= h(b+c)

(A = area h = height b = top face c = bottom face)

1. Find the height of a trapezoid with an area of 25in

and bases of length 5in

and 7in using Newton's method. (Set the starting point to 1.)

2. Save the formula as “A TRAP”.

3. Find the height of a trapezoid with an area of 50in

using the saved formula. (Set the starting point to 1.)

Before

Starting

1-1

1-2

There may be differences in the results of calculations and graph plotting depending on the setting. Return all settings to the default value and delete all data.

*Use either pen touch or cursor to operate.

Access the Solver feature.

2nd F

SOL VER

Select Newton's method for solving.

Display

with bases of 8in and 10in

NotesStep & Key Operation

This screen will appear a few seconds after “SOLVER” is displayed.

1-3

1-4

2nd F

SOL VER

Enter the formula A = h(b+c).

ALPHA

)

Enter the values: A = 25, B = 5, C = 7

ENTER

( +

ALPHA ALPHA

ENTER

ENTER ENTER

1a/b

3-3

EL-9650/9600c Graphing Calculator

Step & Key Operation

*Use either pen touch or cursor to operate.

1-5 Solve for the height and enter a

starting point of 1.

Display

Newton's method will prompt with a guess or a

Notes

starting point.

1-6

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Solve.

2nd F EXE

Save this formula. Give the formula

2nd F EXE

(

)

ENTER

The answer is : h = 4.17

the name “A TRAP”.

2nd F

SOL VER

SPACE

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ENTER

APA

ENTER

3-1

Recall the formula for calculating the area of a trapezoid.

3-2

2nd F

Enter the values:

SOL VER

A = 50, B = 8, C = 10.

ENTER

50 10

ENTER

3-3

ENTER

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2nd F EXE

ENTER

The answer is : h = 5.56Solve.

One very useful feature of the calculator is its ability to store and recall equations. The solution from various values for known variables can be easily obtained by recalling an equation which has been stored and giving values to the known variables in the Solver mode. If a starting point is known, Newton's method is useful for quick solution of a complicated equation.

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