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

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Answer 1 · 2017-12-29T04:42:19

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

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

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

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

Now consider that $y$ $y$ 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 $(-oo,+oo)$

What is the range of the function y = 2x^3 + 5x - 7y=2x3+5x−7y = 2x^3 + 5x - 7?