What is the output of the function f(x) = x² + 1 when x = 3?

What is the output of the function f(x) = x² + 1 when x = 3?

• A. 9
• B. 8
• C. 10
• D. 6

Answer: (C)

To determine the output of the function f(x) = x² + 1 when x = 3, you substitute 3 into the function. First, calculate x²: When x = 3, x² becomes 3², which is 9. Next, add 1 to this result: 9 + 1 equals 10. Therefore, when you plug in 3 into the function f(x), the output is 10. This matches the answer choice with that value.

To determine the output of the function f(x) = x² + 1 when x = 3, you substitute 3 into the function.

First, calculate x²:

When x = 3, x² becomes 3², which is 9.

Next, add 1 to this result:

9 + 1 equals 10.

Therefore, when you plug in 3 into the function f(x), the output is 10. This matches the answer choice with that value.