How do you create a table of values for an absolute value equation?

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How do you create a table of values for an absolute value equation?

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Answer 1 · 2015-02-12T00:41:37

A table of values is simply a pairing between an input and an output. Absolute value equations can range from very complex to relatively simple -- there are also many theorems and postulates that dictate the behavior of absolute value equations in various circumstances.

In its purest form, absolute value makes all numbers positive. For instance, $y = | x |$ $y = |x|$ would result in the positive form of $x$ $x$ being the output, whether $x$ $x$ is positive or negative. For instance, if $x$ $x$ is $- 5$ $-5$ , it would be $5$ $5$ when it comes out of that equation. Create a table of values like you normally would, but compute values enclosed in absolute value markers as positive.

Another common form of absolute value equations can be found in a form similar to $| a - 3 | = 5$ $|a-3| = 5$

Thus:

$| a - 3 | = 5$ $|a-3| = 5$ would have $a$ $a$ values $- 2 < x < 8$ $-2 < x < 8$

From there, you can create a table from the values of $a$ $a$ .

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How do you create a table of values for an absolute value equation?

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