Question

Given f(2) = 12, which of the following could be an equation of the function?

A.
f(x) = 8x – 2
B.
f(x) = 4x + 4
C.
f(x) = 6x – 4
D.
f(x) = –4x – 4

Answer 1

Substituting x = 2 in each function, we get:

A. f(x) = 8x – 2 --> f(2) = 8(2) - 2 = 14 (not a match)

B. f(x) = 4x + 4 --> f(2) = 4(2) + 4 = 12 (a match)

C. f(x) = 6x – 4 --> f(2) = 6(2) - 4 = 8 (not a match)

D. f(x) = –4x – 4 --> f(2) = -4(2) - 4 = -12 (not a match)

Therefore, the equation of the function could be f(x) = 4x + 4 (option B).