The graph of the polynomial function $f$ in the xy-plane, where $y = …

Question

Prompt

The graph of the polynomial function

f

in the xy-plane, where

y = f (x)

, has x-intercepts of

(- 5, 0)

and

(2, 0)

. Which of the following must be true?

f (0) = - 5

f (2) = - 5

f (- 5) = 0

f (- 5) = 2