### Home > CALC > Chapter 2 > Lesson 2.3.3 > Problem 2-130

2-130.

A function, , is

*continuous*for all real numbers. If

*, then what must*

*equal? Write a piecewise function that represents this situation.*

After factoring, you will see that there is a hole (not a vertical asymptote) at . While

*does not exist, the exist, and gives us the*

*-value of the hole.*