### Home > CALC > Chapter 12 > Lesson 12.2.3 > Problem 12-95

12-95.

**Multiple Choice:**Which of the following statements must be true of the function*f*(*x*) defined below? Homework Help ✎

*f*(*x*) is continuous at*x*= −2.*f*(*x*) is differentiable at*x*= −2.*f*(*x*) is differentiable at*x*= 0.5 .

I only

II only

I and III only

II and III only

I and II only

Therefore *f* is continuous at *x* = –2.

Therefore *f* is not differentiable at *x* = –2.