Given the graph of the function f(x) below, what happens to f(x) when x is a very small positive number? F(x) is a negative number with a large absolute value
F(x) is a negatice number with a small absolute value
F(x) is a very small positive number
F(x) is a very large positive number

A) F(x) is a negative number with a large absolute value

Step-by-step explanation:

You have to keep in mind the end behavior of a function like this:

As y -> -infinity, x -> infinity

As y -> infinity, x -> -infinity

Simply put:

As y gets smaller, x gets larger

As y gets larger, x gets smaller

Since the question asks what happens to f(x) (which is y) when x is a very small positive number, y is going to get smaller, but the limit is the vertical asymptote x=0 since that's the smallest positive number (but 0 is not included since it's neither positive or negative). So as x approaches 0, f(x) is going to approach -infinity.

Therefore, the correct answer given the choices is:

A) F(x) is a negative number with a large absolute value

We know this because the absolute value of -infinity is infinity!

I hope this explanation made sense.

b) well because you get well

the first option is the answer.