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

Dec 29, 2017

Range of $y$ is $\left(- \infty , + \infty\right)$

#### Explanation:

$y = 2 {x}^{3} + 5 x - 7$

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 $\forall x \in \mathbb{R}$

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

Hence, the range of $y$ is $\left(- \infty , + \infty\right)$