**1.4 **
*Continuity*

**EXERCISES**

For problems #1-3, letgbe the piecewise defined function given by the equations on the left and graphed on the right:

1. Isgcontinuous atx=2?

2. Where doesghave step discontinuities?

3. Where doesghave removable discontinuities?

4. Classify any points of discontinuity of f over the graphed interval.

Find any points of discontinuity of the functions in problems #5-10. Specify whether or not the discontinuity is removable.

5.

6.

7.

8.

9.

10.

For problems 11-13, what value ofamakes the function continuous atx=1?

11.

12.

13.

14. Use the Intermediate Value Theorem to show that the equation cos x = x must have at least one solution.

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