Question

can someone explain this to me step by step
What is the range of the following function?

f(x) = |x – 2|
f(x) ≥ 0 x ≥ 2
f(x) ≥ 2 x ≥ 0

Answer 1

first of all the range is for the \(f(x)\) values, not the \(x\) values, so the two answers on the right make no sense at all

Answer 2

secondly, the absolute value of anything is always greater than or equal to zero, making your answer
\[f(x)\geq 0\]
there are no "steps" other than thinking steps

Answer 3

i.e. there are no algebra steps, only reasoning steps