High School

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------------------------------------------------ Use the following function rule to find \( f(11) \).

Given: \( f(x) = x^6 \)

A. \( f(11) = 11^6 \)
B. \( f(11) = 6^{11} \)
C. \( f(11) = 66 \)
D. \( f(11) = 36 \)

Answer :

Final answer:

To find f(11) using the given function rule f(x) = x⁶, we calculate 11⁶. The correct answer is a. f(11)=11⁶.

Explanation:

The student has presented a function rule f(x) = x⁶ and wants to find the value of f(11), which is essentially calculating 11⁶. To solve for f(11), we substitute x with 11 in the function rule, leading to f(11) = 11⁶. This is a straightforward exponentiation problem where we raise 11 to the power of 6. After performing the calculation, we get, f(11) = 116 = 11×11×11×11×11×11. Therefore, the correct answer from the given options is a. f(11)=11⁶.

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