What is the range of the function x^3 - 5?

1 Answer
Sep 22, 2017

{y in RR | -oo< y < oo}

or in interval notation:

(-oo , oo)

Explanation:

The function is continuous so is valid for all x in RR.

So:

as x -> -oo

x^3 - 5-> -oo

as x -> oo

x^3 - 5-> oo

So the range is:

{y in RR | -oo< y < oo}

or in interval notation:

(-oo , oo)

See graph:

graph{x^3 -5 [-10, 10, -20, 20]}