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

1 Answer
Dec 29, 2017

Answer:

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)#