1. AP Calculus Chapter 1, Section 4 Continuity and One-Sided Limits 2013 - 2014

2. What is a continuous graph?

3. Continuity at a Point and on an Open Interval

4. Definition of Continuity

5. Types of Discontinuity Removable Discontinuity Nonremovable discontinuity

6. Discuss the continuity of each function

7. One-sided limits & continuity on a closed interval

9. Greatest Integer Function

11. Definition of Continuity on a Closed Interval

13. On the Kelvin scale, absolute zero is the temperature 0 K. Although temperatures of approximate 0.0001 K have been produced in laboratories, absolute zero has never been attained. In fact, evidence suggests that absolute zero cannot be attained. How did scientists determine that 0 K is the “lower limit” of the temperature of matter? What is absolute zero on the Celsius scale?

14. The determination of absolute zero stems from the work of the French physicist Jacques Charles (1746 – 1832). He discover the volume of gas at a constant pressure increases linearly with the temperature of the gas. The table shows this relationship. The volume V is measured in liters and the temperature T is measured in degrees Celsius. T-40-20020406080 V19.148220.790822.433424.076025.718627.361229.0038

15. Properties of Continuity

16. The following types of functions are continuous at every point in their domains.

17. By using these properties, you can see that each of the following functions are continuous at every element of its domain.

18. Continuity of a Composite Function

19. Describe the interval(s) on which each function is continuous.

20. Homework Pg. 78 – 81: 1 – 61 every other odd, 71, 75, 95