Question

A polynomial function is given.
P(x) = x(x2 − 9)
(a) Describe the end behavior of the polynomial function.
End behavior: y → as x → ∞
y → as x → −∞

(b) Match the polynomial function with one of the following graphs.

Answer 1

Answer:

Step-by-step explanation:

Look what happens if you do the multiplication of P(x):

P(x) = x^3 - 9x

This is a variation of the basic cubing function y = x^3.

The graph begins in QIII and ends in QI; in other words, if you go left the graph drops; if you go right, the graph rises (without limit, in both cases).