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.