Question

What is the range of the function `y = 2x^3 + 5x - 7`?

Answer 1

Range of `y` is `(-oo,+oo)`

Explanation:

`y = 2x^3+5x-7`

First let's take a look at the graph of `y` below:

graph{2x^3+5x-7 [-32.44, 32.5, -16.23, 16.24]}

Now consider that `y` is defined `forall x in RR`

We can deduce from the graph that `y` has no finite upper of lower bounds.

Hence, the range of `y` is `(-oo,+oo)`