Answer:
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)
Step-by-step explanation:
We have the function 
First, let's look at what happens when we input smaller and smaller numbers
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.
Where are the numbers or just this? We need numbers like 1 0 6
Ok so basically, when you say multiply A by C, that is simplifying.
And in this case, you are factorising in this question. You turn back into brackets basically.
We have:
72x^2 - 32
x^2 = x squared
factorising means finding the factor of.
(Forget the x squared for the moment to make life easier)
Factors of 72:
1 and 72
2 and 36
3 and 24
4 and 18
6 and 12
8 and 9
(9 and 8 = it repeats so we stop there)
And then factors of 32:
1 and 32
2 and 16
4 and 8
(8 and 4 = repeats so we stop there)
Notice how we see 8 twice in both factors of 72 and 32, this means that we use 8 as the main number we are going to multiply each of the 2 numbers in the brackets by. This is because it is the biggest common factor - this is what we have!
This is what we would have:
8(9-4)
BUT, that is not the answer!
Keep in mind we have the x squared too
But, 32 doesn’t have it?!!
It would be:
8(9x^2 - 4)
Do you get it??
Try to simplify it! Does it equal to 72x^2 - 32?
(And I am so very sorry for the long explanation, once you get the hang of it, it makes sense. Hope my explanation helped) :)
