DETERMINE IF THE FUNCTION IS DIFFERENTIABLE FROM THE GRAPH WORKSHEET

Determine whether the following function is continuous, differentiable, neither or both at the point.

Problem 1 :

Problem 2 :

Problem 3 :

Problem 4 :

Problem 5 :

Problem 6 :

Problem 7 :

Problem 8 :

Answer Key

1) The function is not continuous, it is not differentiable. It has jump discontinuity. So, it is neither.

2) it is neither.

3) it is both.

4) The function is continuous but not differentiable at the point x = 0.

5) it is both.

6) the function is continuous but not differentiable.

7) function is continuous but not differentiable at the point x = 2.

8) the function is continuous but not differentiable at the point x = -1.

9) Then the function is continuous but not differentiable at the point x = -1.