Question

Identify the asymptote:
f(x) = -2/ x + 3

Answer 1

A vertical asymptote occurs when the denominator (bottom part) of the fraction = 0

So first, set x + 3 = 0

what does x equal?

A horizontal asymptote occurs when you set x = to infinity.

-2
----
infinity


If a REALLY big number is in the denominator here....what does this function approach?
*hint...what is 1/10000000? a really small number right? use this in the context above*

Answer 2

I know the answers should be x = -3 and y = 0 but I need to know how to show my work

Answer 3

I'm not really sure how to show it other than how I have explained it

Vertical asymptote happens when denominator = 0....x + 3 = 0...x = -3 is the vertical

Horizontal asymptote is what the function is when x = infinity....-2/infinity = 0 is the horizontal

Not sure how else to put it though

Answer 4

I'll just write that then. thanks.