How to algebraically determine the positive and negative x values for an absolute value function?

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This is for graphing an absolute value function equation. I don't understand this at all and really need help.

Sep 14th, 2015

Thank you for the opportunity to help you with your question!

Taking the absolute value of a negative number makes it positive. For this reason, graphs of absolute value functions tend not to look quite like the graphs of linear functions that you've already studied. Because of how absolute values behave, it is important to include negative inputs in your T-chart when graphing absolute-value functions. If you do not pick x-values that will put negatives inside the absolute value, you will usually mislead yourself as to what the graph looks like.While absolute-value graphs tend to look like the one above, with an "elbow" in the middle, this is not always the case. However, if you see a graph with an elbow like this, you should expect that the equation is probably an absolute value. In all cases, you should take care that you pick a good range of x-values; three x-values right next to each other will almost certainly not give you anywhere near enough information to draw a valid picture.

hope i helped

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 14th, 2015

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