For problems #1-3, let g be the piecewise defined function given by the equations on the left and graphed on the right:
1. Is g continuous at x=2?
2. Where does g have step discontinuities?
3. Where does g have 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.
For problems 11-13, what value of a makes the function continuous at x=1?
14. Use the Intermediate Value Theorem to show that the equation cos x = x must have at least one solution.
Click here to see the solutions!