Question

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

Answer 1

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|` would result in the positive form of `x` being the output, whether `x` is positive or negative. For instance, if `x` is `-5`, it would be `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`

Thus:

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

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

If you can update your question with more detail, I may be able to answer it better.