Answer
a. $x → ∞, P(x) → -∞$
$x → -∞, P(x) → -∞$
b. See graph below
Work Step by Step
The question asks for the end behavior and a graph of P(x)
Given $P(x) = -(x-5)(x^2-9)(x+2)$
The degree of P(x) is even and the leading coefficient is negative.
Thus the end behavior will be:
$x → ∞, P(x) → -∞$
$x → -∞, P(x) → -∞$
See graph below.
