Sharp EL-9600c Evaluating Absolute Value Functions, EL-9650/9600c/9450/9400 Graphing Calculator

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