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EL-9900 Graphing Calculator
10-4
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.
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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