Question

19. Which function results in f(2) = 13?

A. f(x) = x2 + 8
B. f(x) = 3x2 + 1
C. f(x) = 2x3 + 5
D. f(x) = x2 + x

Answer 1

The function that yields f(2) = 13 when evaluated is B. f(x) = 3x^2 + 1. By substituting 2 into each option, Option B is the only function that satisfies the condition with f(2) = 3(2^2) + 1 = 13.

Step-by-step explanation:

To evaluate which function results in f(2) = 13, we substitute x = 2 into each given option and check which one yields 13 as the output. Here's the evaluation for each:

1. A. f(x) = x2 + 8: Substituting 2 for x gives us f(2) = 22 + 8 = 4 + 8 = 12, which is not 13.
2. B. f(x) = 3x2 + 1: Substituting 2 for x gives us f(2) = 3(22) + 1 = 3(4) + 1 = 12 + 1 = 13, which is exactly 13. Therefore, this is the correct function.
3. C. f(x) = 2x3 + 5: Substituting 2 for x gives us f(2) = 2(23) + 5 = 2(8) + 5 = 16 + 5 = 21, which is not 13.
4. D. f(x) = x2 + x: Substituting 2 for x gives us f(2) = 22 + 2 = 4 + 2 = 6, which is not 13.

The correct answer is Option B.

Answer 2

The answer is C.

Step-by-step explanation: