Question

omplete 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.

Answer 1

Look at the powers on x in the function.
A fifth power will make a negative x value remain negative, and positive x value remain positive.
A third power will do the same thing, odd powers will.

Answer 2

So as you let x become larger and larger negative, the function will get larger and larger negative also..

As x is larger and larger positive values, the function will have larger and larger positive values.