SHARP EL9900 Operation Manual

Sharp EL-9900

Graphing Calculator

Basic Keyboard Activities

General Mathematics

Algebra

Programming

Advanced Keyboard Activities

Algebra

Calculus

Statistics

Trigonometry

Programming

Sharp EL-9900

Graphing Calculator

Basic Keypad

EL-9900

SUB

SPLIT

TBLSET

DRAW

FORMAT

CALC

OPTION

LIST

CLIP

OFF

A-LOCK

STAT

PLOT

SLIDE SHOW

2ndF

ALPHA

Y

=

GRAPH

TABLE

WINDOW

ZOOM

TRACE

ON

+

–

.

–

+

MATH

Simp

a

STAT

A

GH I J K

a

b

c

LMN

789

QRST

4

VW

1

0

PRGM

BCDEF

b

a

c

a

b

c

b

a

SET UP

INS

DEL BS

A.

xxx

RCL VARS

,

{}

(

5

2

SPACE ENTRY ANS

6

3



x

X

+

(–)

%

.

int

STO

O

CATALOG

Y

xp

QUIT

CL

–1

x

2

x

P

)

U

.

–

Z

–

ENTER

1

Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Press to access the calculation screen.

1. Add 9 to 27 twice.

STEP 1: Enter 27 by pressing 2 7 . STEP 2: Add by pressing the + key. STEP 3: Enter 9 by pressing 9 . STEP 4: Find the first sum by pressing the ENTER key. STEP 5: Add 9 again by pressing + 9 ENTER .

2. Multiply to . Then, convert to a decimal.

STEP 1: Enter by pressing 3 a/b 4 . STEP 2: Multiply by pressing the × key. STEP 3: Enter by pressing 5 a/b 2 . STEP 4: Find the product by pressing ENTER . STEP 5: Convert to an improper fraction by pressing ➞b/c ENTER . STEP 6: Convert to a mixed number by pressing ➞ab/c ENTER .

BASIC ARITHMETIC

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3 4

5 2

3 4

5 2

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Press to access the calculation screen.

A trapezoid is a four-sided figure where two of the sides are parallel and the other two sides are not parallel.

The area of a trapezoid is defined to be Area = ( )•(b

1

+ b2) where h

is the height or distance between the parallel sides b

1

and b2.

1. Calculate ( ) × (3 + 4).

STEP 1: Enter ( ) by pressing

(

5 a/b 2

)

.

STEP 2: Multiply by pressing the × key. STEP 3: Enter (3 + 4) by pressing

(

3 + 4 ).

STEP 4: Calculate by pressing the ENTER key.

The answer is 17.5

2. Edit the previous calculation to find ( )•(7 + 4).

STEP 1: Edit the previous calculation by pressing 2ndF ENTRY

to move the blinking cursor to highlight the 3. STEP 2: Delete the 3 by pressing DEL to backspace delete. STEP 3: Insert the 7 by pressing 7 . STEP 4: Calculate by pressing the ENTER key.

The answer is 27.5.

PARENTHESES AND EDITING

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h

2

5 2

▼

h

b

1

b

2

▼

3

Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Press to access the calculation screen.

Mixtures contain two or more components. Percents are often used to express the amount of a component in a mixture.

1. Find 30% of 400.

STEP 1: Enter 400 by pressing 4 0 0 . STEP 2: Multiply by pressing the × key. STEP 3: Enter 30% by pressing 3 0 2ndF % ENTER .

The answer is 120.

2. Find what percent of 500 is 150.

STEP 1: Enter 150 by pressing 1 5 0 . STEP 2: Divide by pressing the ÷ key. STEP 3: Enter 500 by pressing 5 0 0 . STEP 4: Calculate by percentage by pressing 2ndF % ENTER .

The answer is 30%.

PERCENTS

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

3. Add 20% to 300.

STEP 1: Enter 300 by pressing 3 0 0 . STEP 2: Add by pressing the + key. STEP 3: Enter 20% by pressing 2 0 2ndF % ×

3 0 0 ENTER .

The answer is 360.

4. Subtract 40% from 200.

STEP 1: Enter 200 by pressing 2 0 0 . STEP 2: Subtract by pressing the – key. STEP 3: Enter 40% by pressing 4 0 2ndF % ×

2 0 0 ENTER .

The answer is 120.

PERCENTS (continued)

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Press to access the calculation screen.

1. Calculate 2 • 3 and store the value in A. Recall the A to

see the product stored in A.

STEP 1: Multiply 2 and 3 by pressing 2 × 3 ENTER .

The product is 6. STEP 2: Store 6 into A by pressing STO ALPHA A ENTER . STEP 3: Clear the screen by pressing CL . STEP 4: Recall A by pressing ALPHA A ENTER .

2. Calculate 3 • 5 and store the value in M. Calculate 4 • 5

and add this product to M. Then, recall the M to see the sum of the products.

STEP 1: Multiply 3 and 5 by pressing 3 × 5 ENTER .

The product is 15. STEP 2: Store 15 into M by pressing STO ALPHA M ENTER . STEP 3: Multiply 4 and 5 by pressing 4 × 5 ENTER .

The product is 20. STEP 4: Add 20 to M by pressing + ALPHA M .

The sum of the products is 35.

3. Recall the previous answer.

STEP 1: With the display screen cleared, recall the previous answer

by pressing 2ndF ANS ENTER .

MEMORY USAGE

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Press to access the calculation screen.

1. Calculate 152.

STEP 1: Enter 15 by pressing 1 5 . STEP 2: Square by pressing the x

2

key.

STEP 3: Calculate by pressing the ENTER key.

The answer is 225.

2. Calculate 34.

STEP 1: Enter 3 by pressing 3 . STEP 2: Exponentiate by pressing the a

b

key. STEP 3: Enter 4 by pressing 4 . STEP 4: Calculate by pressing the ENTER key.

The answer is 81.

3. Calculate √196.

STEP 1: Enter the square root by pressing 2ndF √ . STEP 2: Enter 196 by pressing 1 9 6 . STEP 3: Calculate by pressing the ENTER key.

The answer is 14.

POWERS AND ROOTS

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Press to access the calculation screen.

1. Find log 3.

STEP 1: Enter log by pressing MATH A 4 . STEP 2: Enter 3 by pressing the 3 key. STEP 3: Calculate by pressing the ENTER key.

The answer is 0.4771.

2. Find 10

(3÷4)

.

STEP 1: Enter 10 by pressing MATH A 5 . STEP 2: Enter (3 ÷ 4) by pressing 3 ÷ 4 . STEP 3: Calculate by pressing the ENTER key.

The answer is 5.6234.

LOGARITHMS AND EXPONENTIALS

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

The definitions of the trigonometric functions with regard to the right triangle can be used to find distances between points. The sine function is defined to be opposite side/hypotenuse, the cosine function is adjacent side/hypotenuse, and the tangent function is opposite side/adjacent side.

Put the calclator in degree mode by pressing 2ndF SETUP B 1 .

1. Find sin 30°.

STEP 1: Press to access the calculation screen. STEP 2: Enter sin 30 by pressing MATH Α 1 3 0 . STEP 3: Calculate by pressing the ENTER key.

The answer is 0.5.

2. Find 3cos 20°.

STEP 1: Enter 3 cos 20 by pressing 3 MATH Α 2 2 0 . STEP 2: Calculate by pressing the ENTER key.

The answer is 2.819

3. Find tan 50°.

STEP 1: Enter tan 50 by pressing MATH Α 3 5 0 . STEP 2: Calculate by pressing the ENTER key.

The answer is 1.19.

Remember that cotangent = 1/tangent, secant = 1/cosine, and cosecant = 1/sine.

TRIGONOMETRIC FUNCTIONS

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hypotenuse opposite side

adjacent side

θ

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Put the calclator in radian mode by pressing 2ndF SETUP B 2 .

1. Find sin 2.1.

STEP 1: Press to access the calculation screen. STEP 2: Enter sin 2.1 by pressing MATH Α 1 2

.

1.

STEP 3: Calculate by pressing the ENTER key.

The answer is .8632

2. Find cos (-1.7).

STEP 1: Enter 3 cos (-1.7) by pressing 3 MATH Α 2

(−)

1

.

7.

STEP 2: Calculate by pressing the ENTER key.

The answer is -.3865

3. Find tan 0.

STEP 1: Enter tan 0 by pressing MATH Α 3 0 . STEP 2: Calculate by pressing the ENTER key.

The answer is zero.

TRIGONOMETRIC FUNCTIONS (continued)

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Angles can be expressed in degrees and radians. Degrees can be expressed in either decimal degrees or degrees-minutes-seconds. The sum of the angles of a triangle is 180° or π radians.

Press to access the calculation screen.

1. Convert 30° to radians.

Put the calclator in radian mode by pressing 2ndF SETUP B 2 .

STEP 1: Enter 30° by pressing 3 0 MATH Ε 1 . STEP 2: Convert to radians by pressing ENTER .

The answer is 0.5236.

2. Convert 50°35’ to decimal degrees.

STEP 1: Enter 50°35’ by pressing 5 0 MATH E 1 3 5

MATH Ε 2 .

STEP 2: Calculate decimal degrees by pressing ENTER .

The answer is 50.5833.

ANGLE CONVERSIONS

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

3. Convert 40.235° to degrees-minutes-seconds.

STEP 1: Enter 40.235° by pressing 4 0

.

23 5 .

STEP 2: Calculate degrees-minutes-seconds by pressing

MATH D 2 ENTER .

The answer is 40°14’06”.

4. Convert 1.25 radians to degrees.

Put the calclator in degree mode by pressing 2ndF SETUP B 1 .

STEP 1: Enter 1.25 radians by pressing 1

.

2 5 MATH

E4 .

STEP 2: Convert to degrees by pressing ENTER .

The answer is 71.6°.

ANGLE CONVERSIONS (continued)

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Press to access the calculation screen.

1. Find five factorial or 5!.

STEP 1: Enter 5! by pressing 5 MATH C 7 . STEP 2: Calculate by pressing ENTER .

The answer is 120.

2. Find the number of combinations of 2 from a group of 5.

STEP 1: Enter the large number 5 by pressing 5 . STEP 2: Enter the combination symbol by pressing MATH C 6 . STEP 3: Enter the small number 2 and calculate by pressing

2 ENTER .

The answer is 10.

Permutations are found in the same manner.

3. Randomly select a person from an ordered group of 10.

STEP 1: Access the random integer command by pressing

MATH C 2 . STEP 2: Enter the lower bound of 1 by pressing 1 ,. STEP 3: Enter the upper bound of 10 by pressing 1 0 ). STEP 4: Calculate the random person by pressing ENTER .

Answers will vary.

PROBABILITY

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

1. Calculate statistics for a one-variable data set.

STEP 1: Turn the calculator on and press STAT to enter the statistics menu.

Press A (EDIT) ENTER to view the statistics data entry screen. If there is a data set present within the lists on your calculator, use the arrow keys to move to the list, if necessary, and press ▲ to highlight the list label. Press DEL ENTER to delete the old data. Repeat for other lists of data.

STEP 2: Move the highlighter to the cell directly below the L1 in the table.

Enter the following data set: 25 32 28 33 31 27 40 38 29 30

STEP 3: Check the data you have entered and correct any errors you may find.

Press 2ndF QUIT to exit the data entry screen. To calculate the numerical descriptions of the data set, press STAT C (CALC) and 1 (1_Stats). Press ENTER and the statistical results will appear.

2. The statistics displayed are:

1. the average or mean value of the data set, ;

2. the standard deviation assuming the data set is a sample from a population, sx;

3. the standard deviation assuming the data set represents the entire population, σx;

4. the sum of the data values, ∑x;

5. the sum of the squared data values, ∑x

2

;

Press ▼ five times to see more of the statistics.

6. the number of values in the data set, n;

7. the minimum value in the data set, xmin;

8. the first quartile (25th percentile), Q1;

9. the median (50th percentile), Med;

10. the third quartile (75th percentile), Q3; and Press ▼ one more time to see the final statistic.

11. the maximum value in the data set, xmax.

ONE-VARIABLE STATISTICS

x

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Steps for creating a data set's histogram

STEP 1: Turn the calculator on, press STAT A (EDIT) ENTER to view the

statistics data entry screen. Delete old data sets.

STEP 2: Move the highlighter to the cell directly below the L1 in the table and enter

the following data set: 15 28 17 36 38 19 13 25 27 41

STEP 3: Check the data you have entered by pressing ▲ to move back through

the data.

STEP 4: To graph a histogram that represents the data set, you must first press

STAT PLOT A (PLOT1) and press ENTER . A PLOT1 setup screen will appear. Turn the plot on by pressing ENTER . Select one-variable data by pressing ▼ ENTER . Set the list to L1 by pressing ▼

2ndF L1 ENTER . A blank Freq: prompt indicates the data is non-weighted

and the frequencies are one. Choose the histogram graph by pressing ▼

STAT PLOT A (HIST) and 1 (Hist).

STEP 5: Set the calculator to rectangular graphing by pressing 2ndF SET UP

E (COORD) 1 (Rect) and press 2ndF QUIT .

STEP 6: Set the viewing window by pressing WINDOW . Set the horizontal axis to

10 < x < 50 with Xscl = 10 by pressing 1 0 ENTER 5 0 ENTER 1

0 ENTER . Set the vertical axis to 0 < y < 5 with Yscl = 1 by pressing 0 ENTER 5 ENTER 1 ENTER .

View the histogram by pressing GRAPH .

HISTOGRAM FOR A ONE-VARIABLE DATA SET

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Steps for creating a data set's box-and-whisker chart

STEP 1: Press STAT to enter the statistics menu. Delete old data and enter the

following data set in L1: 1112222344

STEP 2: To construct a box-and-whisker chart, first press STAT PLOT A

ENTER . Press ENTER to turn PLOT1 on. Press ▼ ENTER to choose one-variable data. Press ▼ 2ndF L1 ENTER to enter L1 as the data list. Leave the Freq prompt blank. Set the graph to a box-and-whisker chart by pressing ▼ STAT PLOT E (BOX) 1 Box.

STEP 3: In the example, the data is discrete with a smallest value of 1 and a largest

value of 4. Set the viewing window to 0 < x < 5 with Xscl = 1. Next, set the vertical axis to 0 < y < 1 with Yscl = 1.

STEP 4: To view the box-and-whisker chart for the data, press GRAPH .

STEP 5: Press TRACE followed by and to view the five values making up the

box-and whisker chart.

STEP 6: Turn PLOT1 off by pressing STAT PLOT ENTER ENTER

2ndF QUIT .

BOX-AND-WHISKER CHART FOR A ONE-VARIABLE DATA SET

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Steps for creating a pie chart from count data

STEP 1: Press STAT to enter the statistics menu. Delete old data and enter the

following data set in L1 using weights in L2: 24 18 40 10

STEP 2: To construct a pie chart, first press STAT PLOT ENTER . Press ENTER

to turn PLOT1 on. Press ▼ ENTER to choose one-variable data. Press ▼

2ndF L1 ENTER to enter L1 as the data list. Leave the Freq prompt blank. Set the graph to a pie chart by pressing ▼ STAT PLOT F (PIE) 1 (PIE) .

STEP 3: To view the pie chart for the data, press GRAPH .

STEP 4: Press TRACE followed by and to highlight and mark the pieces

of the pie chart.

STEP 5: Turn PLOT1 off by pressing STAT PLOT ENTER ENTER

2ndF QUIT .

PIE CHART FOR A ONE-VARIABLE DATA SET

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Steps for calculating statistics for a two-variable data set

STEP 1: Turn the calculator on and press STAT to enter the statistics menu. Press

A (EDIT) ENTER to access the data entry screen. Delete old data

by highlighting L1 and pressing DEL ENTER . Repeat for other lists.

STEP 2: Enter the following data set:

X

Y 25 32 28 33 31 27 40 38 29 30

STEP 3: Check the data you have entered and correct any errors you may find.

To calculate the numerical descriptions of the two variables, press 2ndF

QUIT STAT C (CALC) 2 2_Stats. Press ENTER and the statistical

results will appear.

STEP 4: Press ▼ to view the remaining statistics.

The statistics displayed are:

1. the average or mean value of the variable, or ;

2. the standard deviation assuming the data points are a sample from a population, sx or sy;

3. the standard deviation assuming the data points represents the entire population, σx or σy;

4. the sum of the values, ∑x or ∑y;

5. the sum of the squared values, ∑x

2

or ∑y2;

6. the number of data points, n;

7. the minimum variable value, xmin or ymin;

8. the maximum variable value, xmax or ymax; and

9. the sum of the x and y products, ∑xy.

STATISTICS FOR A TWO-VARIABLE DATA SET

x

y

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Steps for drawing a scatter diagram for a two-variable data set

STEP 1: Consider the following table listing the revenue for a large corporation:

Y

ear Revenue (in millions of dollars)

1 48.63 2 48.86 3 48.91 4 49.69 5 51.10 6 52.00 7 52.03

STEP 2: Access the statistics data entry screen and delete old data.

STEP 3: Enter the data using L1 for the year and L2 for the revenue (in millions

of dollars). Check the data and correct any errors you may find.

STEP 4: Press STAT PLOT A (PLOT1) ENTER to access the PLOT1 set up

screen. To turn PLOT 1 on, press ENTER . Press ▼ ENTER to set the data to two-variable. Set L1 for the x variable by pressing

▼ 2ndF LIST A 1 ENTER . Press 2ndF LIST 2 ENTER to set L2

for the y variable. To set the graph to scatter diagram, press STAT PLOT

G (S.D.) and 3 (Scattr ).

STEP 5: Construct an autoscaled scatter diagram of this data set by pressing ZOOM

A (ZOOM) 9 (Stat).

Press TRACE and press repeatedly to verify that Xmin= 1, Xmax= 7, Ymin= 48.63, and Ymax= 52.03.

SCATTER DIAGRAM FOR A TWO-VARIABLE DATA SET

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Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900

Steps for calculating the best-fitting line

STEP 1: Turn the calculator on and press STAT to enter the statistics menu.

Access the data entry screen by pressing A (EDIT) ENTER . Delete old data and enter the following data set:

X

Y 25 32 28 33 31 27 40 38 29 30 Check the data you have entered and correct any errors you may find.

STEP 2: To find the best-fitting line (regression line) for the data, press STAT

D (REG) 0 2 (Rg_ax+b) and press ENTER .

STEP 3: To overlay the regression line and the scatter diagram for the data, you must

first set up the scatter diagram by pressing STAT PLOT A (PLOT1)

ENTER ENTER ▼ ENTER ▼ 2ndF LIST A 1 ENTER 2ndF

LIST 2 ENTER STAT PLOT G (S.D.) and 3 (Scattr ).

STEP 4: Display the scatter diagram for the data by pressing WINDOW and setting

Xmin = 20, Xmax = 45, Xscl = 5, Ymin = 25, Ymax = 40, and Yscl = 5. Press

GRAPH to view the scatter diagram.

STEP 5: To view the overlay of the regression line and the scatter diagram, press

Y= CL 2ndF VARS H (STAT) ENTER B (REGEQN) 1 (RegEqn)

GRAPH .

LINEAR REGRESSIONS

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Basic Keyboard/ALGEBRA USING THE SHARP EL-9900

1. Turn the calculator on and press Y= .

2. Press CL to remove an old Y1 expression.

3. Enter the linear equation ( y = 3x + 1 ) for Y1 by pressing 3 x

+ 1 .

4. Enter the viewing window range by pressing ZOOM A (ZOOM) 5 (Default). This establishes the default viewing ranges for graphing

equations. These ranges are -10 < x < 10 and -10 < y < 10. The scale for the x and y axes are 1.

5. To graph another equation, press Y= CL to access and clear the Y1=

prompt.

6. Enter the next equation, and press GRAPH to view the graph.

7. If the line does not appear in the default viewing window, press ZOOM 4 (OUT) to enlarge the viewing window.

GRAPHING LINEAR EQUATIONS

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Basic Keyboard/ALGEBRA USING THE SHARP EL-9900

1. Graph the equation y = 1x by pressing Y= CL to remove an old Y1

expression, and press x to enter the equation.

2. Press ZOOM A (ZOOM) 5 (Default) to view the graph.

3. Changing the slope to 2 will result in the equation y = 2x.

Enter this equation for Y2 by pressing Y= ▼ 2 x .

4. To view both the graphs on the same coordinate axes, press GRAPH .

The graph y = 2x has a greater slope than y = x.

5. Changing the slope to will result in the equation y = x. Enter this

equation for Y2 by pressing Y= ▼ CL 1 a/b 2 x .

6. To view both the graphs on the same coordinate axes, press GRAPH .

The graph y = x has less slope than y = x.

7. Changing the slope to -1 will result in the equation y =-x.

Enter this equation for Y2 by pressing Y= ▼ CL

(-)

x .

8. To view both the graphs on the same coordinate axes, press GRAPH .

The graph y =-x has the opposite slope of y = x.

CHARACTERISTICS OF SLOPE

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1 2

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Basic Keyboard/ALGEBRA USING THE SHARP EL-9900

1. Graph the equation y = x by pressing Y= CL to remove an old Y1

expression, and press x to enter the equation.

2. Press ENTER CL to clear Y2 or additional prompts.

3. Use the default viewing range, and press ZOOM A (ZOOM) 5 (Default) to view the graph.

4. Adding 2 will result in the equation y = x + 2. Enter this equation for Y2 by

pressing Y= ▼ x

+

2 .

5. To view both the graphs on the same coordinate axes, press GRAPH .

The graph y = x + 2 has shifted up from the graph of y = x . The y - intercept is now y = 2.

6. Subtracting 2 will result in the equation y = x – 2. Enter this equation for Y2

by pressing Y= ▼ CL x – 2 .

7. To view both the graphs on the same coordinate axes, press GRAPH .

The graph y = x – 2 has shifted down from the graph of y = x . The y - intercept is now y =-2.

CHARATERISTICS OF THE y-INTERCEPT

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Basic Keyboard/ALGEBRA USING THE SHARP EL-9900

1. Enter the equations Y1 = 3X + 1 and Y2 = 3X + 2 by pressing Y= CL 3

x

+ 1 ENTER CL 3 x + 2 .

2. Press ZOOM A (ZOOM) 5 (Default) to view the graphs.

3. These lines are called parallel since they have an equal slope but different

y-intercepts. These lines will not intersect.

4. Enter the equations Y1 = 3X - 1 and Y2 = -1/3 X + 1 by pressing Y= CL 3 x – 1 ENTER CL

(-)

1 a/b 3 x

+ 1 .

5. Press ZOOM A 7 to view the graphs.

6. These line are called perpendicular since they have slopes that are negative

reciprocals of each other (m

1

= -1/m2). Notice, these intersecting lines form

four equal angles.

7. Graph two lines with unequal slopes (not negative reciprocals). What do

you see? Are the lines parallel, perpendicular or neither?

PARALLEL AND PERPENDICULAR LINES

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Basic Keyboard/ALGEBRA USING THE SHARP EL-9900

Graphing and translations of quadratic equations

1. Turn the calculator on and press Y= . Press CL to remove an old Y1

expression. Press ENTER CL to remove an old Y2 expression.

2. To enter the quadratic equation ( y = x

2

) for Y1, press x x2.

Enter the viewing window range by pressing ZOOM A (Zoom) 7 (Dec).

3. When 2 is added to x2, the resulting equation is y = x2+ 2. Enter this

function for Y2 by pressing Y=

▼ x x

2

+ 2 . Press GRAPH .

What does the addition of 2 do?

4. When -2 is added to x2, the resulting equation is y = x2– 2. To change Y2

for this expression, press Y=

▼ CL x x

2

– 2 ENTER GRAPH .

What does the addition of -2 do?

QUADRATIC EQUATIONS

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Basic Keyboard/ALGEBRA USING THE SHARP EL-9900

1. For example, to evaluate f(x)=x

2

-

2x + 3 for x=3, you will enter the function

for Y1 by pressing Y= CL x x

2

– 2 x + 3 . Be sure

to clear any other expressions.

2. Press 2ndF QUIT CL to return to and clear the calculation screen.

3. To evaluate the function at x = 3, first store 3 into the X variable by pressing 3 STO x ENTER .

4. Evaluate the function stored in Y1 at 3 by pressing 2ndF VARS A 1

ENTER .

5. Another way to evaluate a function for several values is using the Sharp’s

table feature. Press TABLE to view a table of values.

6. You can customize the table by pressing 2ndF TBLSET . You can set

the table’s minimum x value (TBLStrt) to another value than zero, and you can change the table’s increment value (TBLStep) from 1 to another value.

EVALUATING A FUNCTION

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Basic Keyboard/ALGEBRA USING THE SHARP EL-9900

1. Press Y= and clear old expressions.

2. Enter the functions for Y1 and Y2. For example, enter f(x)=2x + 1 for Y1 and

g(x)=x

2

for Y2 by moving the cursor to Y1 and pressing 2 x + 1 ,

press ▼ to move the cursor to Y2, and press x x

2

.

3. Press 2ndF QUIT CL to return to and clear the calculation screen.

4. To evaluate (f+g)(4), first store 4 into the X variable by pressing 4 STO x ENTER .

5. Evaluate (f+g)(4) by pressing 2ndF VARS A 1 (Y1) + 2ndF

VARS 2 (Y2) ENTER . This can be repeated for (f-g)(x), (fg)(x), and

(f/g)(x).

6. Another way to conduct an operation on functions and evaluate it for a value

is to use Y3. Press Y= and enter the operation (f-g)(x) into Y3 by pressing

2ndF VARS 1 (Y1) – 2ndF VARS 2 (Y2). Press 2ndF

QUIT CL to return to and clear the calculation screen. Press 2ndF

VARS 3 Y3

(

4

)

ENTER .

OPERATIONS ON FUNCTIONS

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Basic Keyboard/ALGEBRA USING THE SHARP EL-9900

1. Press Y= and clear old expressions.

2. Enter the two functions to be composed for Y1 and Y2. For example, enter

y=x

2

–1 for Y1 by pressing x x

2

– 1 ENTER and y=x+1 for Y2 by

pressing x

+

1 ENTER .

3. Enter the composition of Y2 into Y1 for Y3 by pressing 2ndF VARS A 1 (Y1)

(

2ndF VARS 2 (Y2)

)

ENTER .

4. Keep Y1 and Y2 graphs from appearing by deselecting Y1 and Y2. Do this by

pressing ENTER ENTER .

5. Press ZOOM A 7 (Dec) to view the composition of Y2 into Y1 in the

decimal window.

6. Change the Y3 composition to Y1 in Y2 by pressing Y= CL 2ndF VARS 2 (Y2)

(

2ndF VARS 1 (Y1) ).

7. Press ZOOM A 7 (Decimal) to view the composition of Y1 into Y2 in

the decimal window.

COMPOSITION OF FUNCTIONS

▼▼▼

▼

▼ ▼

9

Basic Keyboard/ALGEBRA USING THE SHARP EL-9900

1. Press 2ndF QUIT CL to return to and clear the calculation screen.

2. To evaluate the formula for the area of a trapezoid (Area=(h/2)(a+b), where

‘h’ is the height between the two bases (‘a’ and ‘b’) for different values, you must first type in the formula. For example, to enter the area formula for a trapezoid, press

(

ALPHA H ÷ 2

)(

ALPHA A +

ALPHA B

)

ENTER .

3. Now, store the values for ‘h,’ ‘a,’ and ‘b’ into the calculator. Use h=1, a=2,

and b=3. Store these by pressing 1 STO ALPHA H ENTER 2

STO ALPHA A ENTER 3 STO ALPHA B ENTER .

4. Clear the screen by pressing CL . Recall the formula by pressing 2ndF ENTRY four times. Press ENTER to evaluate the formula for the stored

values.

5. Change the height to 4 by pressing 4 STO ALPHA H ENTER .

Recall the formula by pressing 2ndF ENTRY two times and press

ENTER to re-evaluate the formula for the new value.

FORMULAS