Answer:
Option (A)
Step-by-step explanation:
The given absolute function is,
f(x) = |-4x + 36|
If the given function f(x) ≥ 0,
(-4x + 36) ≥ 0
4x ≤ 36
x ≤ 9
If the given function f(x) < 0,
(-4x + 36) < 0
4x > 36
x > 9
Therefore, piecewise function that defines the absolute function will be,
f(x) = 4x - 36 if x ≤ 9
-4x + 36 if x > 9
Option (A) will be the correct option.
