### Home > CALC > Chapter 2 > Lesson 2.3.3 > Problem2-130

2-130.

A function, f, is continuous for all real numbers. If when x ≠ −3, then what must f(−3) equal? Write a piecewise function that represents this situation. Homework Help ✎

After factoring, you will see that there is a hole (not a vertical asymptote) at x = −3.

While f(−3) does not exist, the

exist, and gives us the y-value of the hole.