Question

Consider this absolute value function.

f(x)=|x + 8|
How can function f be written as a piecewise function?

Answer 1

D is correct

Explanation:

f(x) = |x| is f(x) = x for x >= 0 and f(x) = -x for x < 0

Hence:

f(x) = |x + 8| is f(x) = x + 8 when x + 8 >= 0 i.e. x > -8 and

f(x) = -x - 8 when x + 8 < 0 i.e. x < -8