Question

Complete the statements about the key features of the graph of f(x) = x5 – 9x3.

Answer 1

 ⇒ negative infinity, and as x goes to positive

infinity, f(x) goes to  ⇒ positive infinity.

Answer 2

we have

$f(x) = x^{5} -9x^{3}$

using a graph tool

see the attached figure

in the graph observe that

As x goes to negative infinity-------> f(x) decreases

and

As x goes to positive infinity-------> f(x) increases

therefore

the answer is

As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity.