Section 2.5 Worksheet:

Assigned problems: Exercises pp. 112-114, #4-8, 13, 38, 40, 45, 48, 59 (due Tuesday)

1. Can you give a simple definition of continuity in words?

2. Name three kinds of discontinuities.

3. What classes of functions are guaranteed to be continuous?

4. Explain (perhaps with help of a diagram) the Intermediate Value Theorem (IVT).

5. Give two examples of real-world phenomena which are by their nature continuous functions of their arguments.

Notes:

1. Once again the theorems suggest that properties we'd like continuity to possess are true: e.g., the sum of two continuous functions is continuous; the composition of continuous functions is continuous.
2. The greatest integer function is known on your calculator as the floor function.