Question

I need help ASAP on this algebra question

Answer 1

As x goes to negative infinity, g(x) goes to zero.

As x goes to positive infinity, g(x) goes to zero.

(So the answer is the second option)

Explanation:

We have the function
`g(x)=(1)/(x^2)`

First, let's look at what happens when we input smaller and smaller numbers

`g(-10)=(1)/(100) \\\\g(-100)=(1)/(10000)`

As we can see, as we input smaller and smaller numbers, the answer gets smaller.

Eventually, these fractions will be so small that they will get closer and closer to zero.

This same thing applies to larger and larger numbers, so the end behavior of each side will both be zero.