Question #48732

1 Answer
Mar 31, 2017

Please see the explanation.

Explanation:

Given an equation of the form:

#y = ax^2+bx+c#

The domain of x is #-oo < x < oo#

Please notice that you cannot pick the abstract values of #-oo# or #+oo# for x.

However, you can pick an number that is "close" to either #-oo# or #+oo#.

Here is the problem with "close": Once you have made your choice of something "close" to #-oo# or #+oo#, I can pick a number that is closer by subtracting a number or adding a number respectively.

This has the effect of making y move closer and closer to #oo# but never reaching it. Therefore, there is no top or bottom two points.