Home > CALC3RD > Chapter Ch5 > Lesson 5.2.4 > Problem 5-97
5-97.
Sketch each of the following piecewise-defined functions. Then, determine if the functions are continuous and differentiable over all reals.
To test if the function is continuous at the boundary point, use the 3 Conditions of Continuity:
2.
To test if the function is differential at the boundary point, use the same 3 conditions on the derivative.
2.
Notice that part (b) has two boundary points, so you will have to run these tests twice.