Sharp EL-9600c, EL-9400, EL-9650 manual Evaluating Absolute Value Functions

Page 43

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

Evaluating Absolute Value Functions

The absolute value of a real number x is defined by the following:

x =

x if

x ≥

0

 

-xif

x ≤

0

Note that the effect of taking the absolute value of a number is to strip away the minus sign if the number is negative and to leave the number unchanged if it is nonnegative.

Thus, x≥

0 for all values of x.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Example

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Evaluate various absolute value functions.

 

 

 

 

1. Evaluate

- 2(5-1)

 

 

 

 

 

2. Is -2+7 = -2 + 7?

 

 

 

 

 

Evaluate each side of the equation to check your answer.

 

 

 

 

Is x + y =x+ y for all real numbers x and y ?

 

 

 

 

If not, when will x + y = x+y ?

 

 

 

 

3. Is 6-9 =

6-9

?

 

 

 

 

 

 

 

 

 

 

 

 

1+3

1+3

 

 

 

 

 

Evaluate each side of the equation to check your answer. Investigate with

 

 

 

more examples, and decide if you think x / y=x/y

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Before

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

 

 

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

 

 

 

 

 

 

 

 

 

 

 

 

Step & Key Operation

Display

Notes

 

 

 

 

(When using EL-9650/9600c)

(When using EL-9650/9600c)

 

 

 

 

*Use either pen touch or cursor to operate.

 

 

 

1-1Access the home or computation screen.

1-2Enter y = -2(5-1)and evaluate.

The solution is +8.

MATH B *

1 )

1 * (-) 2

(

5 —

ENTER

 

 

2-1Evaluate-2 + 7. Evaluate-2+7.

-2 + 7 = 5, -2 + 7 = 9

 

 

 

➞ -2 + 7 ≠ -2 + 7.

 

CL

 

 

MATH

MATH

1*

1 * (-) 2 1 * (-) 2

7 ENTER

+ 7

+

ENTER

MATH

8-5

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Contents EL-9650/9600c/9450/9400 Contents Always read Before Starting Read this firstIntroduction Using this HandbookSlope and Intercept of Linear Equations Enter the equation y = x for Y2 Parallel and Perpendicular Lines 2View the graphs Slope and Intercept of Quadratic Equations 1Change the equation in Y2 to y = x 2+2 Shifting a Graph of Quadratic Equations 1Move the graph y = x 2 to the right by 1Access the Solver feature This screen will appear a few 4Enter the values L=15,000, I=0.09, N=48 Access the Solver feature 200 15π 10π1Access the Solver feature 5Solve for the height and enter a starting point Graphing Polynomials and Tracing to Find the Roots 1Move the tracer near the left-hand root Graphing Polynomials and Jumping to Find the Roots EL-9650/9600c/9450/9400 Graphing Calculator Solving a System of Equations by Graphing or Tool Feature 1Access the Tool menu. Select the number of variables Entering and Multiplying Matrices Enter a 3 x 3 matrix B Solving a System of Linear Equations Using Matrices 17 0.83 = 0.5 0.5 17 0.17 Solving Inequalities 1Enter y = 34 2x for Y1 and y = 5 x for Y2 2x 5 ≥ Solving Double Inequalities= 2x 5 and y = 7 intersect at 6,7 + y ≤ System of Two-Variable Inequalities+ y ≥ Graphing Solution Region of InequalitiesContinuing key operations omitted If x ≥ Slope and Intercept of Absolute Value Functions3View the graph Shifting a graph of Absolute Value Functions = x y = Solve an absolute value equation 5 4x = Solving Absolute Value EquationsSolving Absolute Value Inequalities = -4, y = 2Set up shadingEvaluating Absolute Value Functions Evaluate Graphing Rational Functions + 1x Solving Rational Function Inequalities = y 2 + 2 = y = +- √ x + Graphing Parabolas1Change to parametric mode Graph x 2 2x + y 2 + 4y = Graphing Circles3Turn off Y1 so that it will not graph Graphing Ellipses View the graph in the new window Graphing Hyperbolas Zoom out the screen Key pad for the Sharp EL-9650/9600c Calculator Key pad for the Sharp EL-9450/9400 Calculator We thank you for your cooperation in this project Step Sharp Corporation OSAKA, Japan
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EL-9650, EL-9600c, EL-9400 specifications

The Sharp EL-9400 and EL-9450 are advanced programmable scientific calculators designed for professionals and students alike. Renowned for their versatile functionality and user-friendly interface, these calculators are popular in the fields of engineering, mathematics, and the sciences.

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