Sharp EL-9650 - Evaluating Absolute Value Functions

EL-9650/9600c/9450/9400 Graphing Calculator
8-5
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Notes
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*Use either pen touch or cursor to operate.
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Evaluating Absolute Value Functions
The absolute value of a real number x is defined by the following:
|x| = x if x ≥ 0
-x if 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.
Evaluate various absolute value functions.
Example
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 | | = ?
Evaluate each side of the equation to check your answer. Investigate with
more examples, and decide if you think |x / y|=|x|/|y|
6-9
1+3
1-1
Access the home or computation
screen.
1-2
Enter y = |-2(5-1)| and evaluate.
* *
2-1
Evaluate|-2 + 7|. Evaluate|-2|+|7|.
|-2 + 7| = 5, |-2| + |7| = 9
➞|-2 + 7| ≠ |-2| + |7|.
*
*
*
|6-9|
|1+3|
The solution is
+
8.
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