Question

What's the absolute value of f(x) = x - 2

Answer 1

Keep in mind that the absolute value function has two conditions in its definition: |x| = x if x >= 0, and |x| = -x if x < 0. This ensures that the output of |x| is always positive by negating any potential negative values of x.

So, the absolute value of f(x), |x - 2|, will have two possible values:

x - 2, when x - 2 >= 0, and
-(x - 2) = -x + 2, when x - 2 < 0.

Answer 2

an absolute value is how far the answer is from zero. I am not totally sure what the answer is but that is all I know. My guess is l f(x) = x-2 l
Would anyone like to add on to that?