Sect.1.4 continued One-Sided Limits and Continuity

Properties of Continuity If b is a real number and are both continuous at x = c then, the following are also continuous 1.Scalar: 2.Sum/Difference: 3.Product: 4.Quotient: 5.Composite: If g(x) is continuous at c and f(x) at g(c), then f[g(x)] is also continuous at c

8) Is continuous at x = –2 a. exists b. Jump Discontinuity Check the three conditions

9) Determine if is continuous for x = 1 a. exists b. Check the three conditions c. Limit DNE

10) For what value of ‘a’ is continuous a. exists b. Check the three conditions

11) is continuous for all real numbers for what value of ‘a’ and ‘b’ a. exists b. a. exists b.

12) is it continuous? a. exists b. c.

HOMEWORK Page 80 # odd, all