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 $P(x) = (x-3)(x+1)(x-5)$
The degree of P(x) is odd and the leading coefficient is positive.
Thus the end behavior will be:
$x → ∞, P(x) → ∞$
$x → -∞, P(x) → -∞$
See graph below.