High School

Given the function [tex]f(x) = −5x^2 − x + 20[/tex], find [tex]f(3)[/tex].

a. [tex]−28[/tex]
b. [tex]−13[/tex]
c. [tex]62[/tex]
d. [tex]64[/tex]

Answer :

Final answer:

To find f(3) for the function f(x) = -5x² - x + 20, substitute x = 3 into the function to get f(3) = -28. Therefore, the correct answer is A.

Explanation:

To find f(3) for the function f(x) = -5x² - x + 20, we substitute x = 3 into the function.

So, f(3) = -5(3)² - (3) + 20.

Simplifying the expression, we get f(3) = -45 - 3 + 20 = -28.

Therefore, the answer is a. -28.