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

We can use the given value of f(2) = 12 to determine the correct equation for the function.

A. f(x) = 8x - 2

If we plug in x = 2, we get f(2) = 8(2) - 2 = 14, which does not match the given value of 12.

B. f(x) = 4x + 4

If we plug in x = 2, we get f(2) = 4(2) + 4 = 12, which matches the given value of 12.

C. f(x) = 6x - 4

If we plug in x = 2, we get f(2) = 6(2) - 4 = 8, which does not match the given value of 12.

D. f(x) = -4x - 4

If we plug in x = 2, we get f(2) = -4(2) - 4 = -12, which does not match the given value of 12.

Therefore, the correct equation for the function could be f(x) = 4x + 4, or choice B.