Question

Write the function f(x) = |-4x+36| As a piecewise-defines function.

Answer 1

Option (A)

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.