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

The correct equation of the function given that f(2) = 12, substitute 2 for x in each equation. Only option B results in 12, therefore it is the correct equation.

Step-by-step explanation:

Given that f(2) = 12, we can determine which of the equations provided could represent the function f(x) by substituting x with 2 in each equation and checking if the result equals 12

• A) f(x) = 8x - 2, when x is substituted with 2, f(2) = 8(2) - 2 = 16 - 2 = 14, which does not equal 12.
• B) f(x) = 4x + 4, when x is substituted with 2, f(2) = 4(2) + 4 = 8 + 4 = 12, which equals 12.
• C) f(x) = 6x - 4, when x is substituted with 2, f(2) = 6(2) - 4 = 12 - 4 = 8, which does not equal 12.
• D) f(x) = -4x - 4, when x is substituted with 2, f(2) = -4(2) - 4 = -8 - 4 = -12, which does not equal 12.

Therefore, option B is the correct one since f(2) does equal 12 in that case.