Question

Which graph represents the function f(x) =1/3 |x|?

Answer 1

Explanation:

f(x) = 1/3|x|

then

f(x) = 1/3x , if x ≥ 0

and

f(x) = -1/3x , if x ≤ 0

the slope of f(x) = 1/3x is 1/3

the slope of f(x) = -1/3x is -1/3

this two above conditions apply on to the fourth graph to the right.