Question #48732

Mar 31, 2017

Explanation:

Given an equation of the form:

$y = a {x}^{2} + b x + c$

The domain of x is $- \infty < x < \infty$

Please notice that you cannot pick the abstract values of $- \infty$ or $+ \infty$ for x.

However, you can pick an number that is "close" to either $- \infty$ or $+ \infty$.

Here is the problem with "close": Once you have made your choice of something "close" to $- \infty$ or $+ \infty$, 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 $\infty$ but never reaching it. Therefore, there is no top or bottom two points.