Complete the statements about the key features of the graph of f(x) = x5 – 9x3.
as x goes to negative infinity, f(x) goes to infinity, and as x goes to positive infinity, f(x) goes to infinity.

we have

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.

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)