SOLUTION: how to graph f(x)=|8-x|

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Question 895406: how to graph f(x)=|8-x|
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28200%2C200%2C-5%2C12%2C-5%2C12%2Cabs%288-x%29%29

A critical point is at x=8; and because the function itself is an absolute value, f has no points below the x-axis.

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8-x%3E=0 for highlight_green%28x%3C=8%29.
f%28x%29=abs%288-x%29=8-x
highlight%28f%28x%29=8-x%29 for highlight%28x%3C=8%29.

8-x%3C0 for 8%3Cx or highlight_green%28x%3E8%29.
f%28x%29=abs%288-x%29=-%288-x%29=x-8
highlight%28f%28x%29=x-8%29 for highlight%28x%3E8%29.

Additional note to help understanding: An absolute value is always positive or zero; NEVER negative.