High School

Given the function [tex] f(x) = 10x - 2x^2 [/tex], find [tex] f(4) [/tex].

A. 24
B. -22
C. -24
D. -8

Answer :

Final answer:

The process to find f(4) involves substituting x with 4 in the equation f(x) = 10x - 2x^2, which yields 8, but none of the available options match this result.

Explanation:

The function provided is f(x) = 10x - 2x^2. To find the value of this function at x = 4, we simply substitute 4 for x in the expression. This gives us:

f(4) = 10(4) - 2(4^2).

This simplifies to f(4) = 40 - 2(16) = 40 - 32 = 8. However, this option is not provided in the available choices. There must be a mistake in the options, as the answer should be 8.

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