### Home > CALC > Chapter 3 > Lesson 3.1.1 > Problem 3-13

3-13.

Is the function graphed below continuous at the following values of

*x*? If not, explain which conditions of continuity fail. Homework Help ✎*x*= −4, −2, 0, and 2

Now use the three conditions to test if the function is continuous at *x* = −2, *x* = 0 and *x* = 2.

Examine the graph at *x* = −4

Condition 1:

Condition 2:

*f*(-4) = 0.

Therefore *f*(−4) exists.

Condition 3:

*f*(*x*) is continuous at *x* = −4