Today in Precalculus Quiz until 1 20 When

Today in Precalculus • Quiz until 1: 20 • When you are done, turn it in and sit quietly. • Notes: (no handout) – Define and Identify a Continuous function – Name and Identify types of discontinuity • Homework • Bring calculators Monday

Continuous Functions • Definition: A function where the graph does not come apart at any point on its domain. It is continuous everywhere on its domain.

Removable Discontinuity • This graph is continuous everywhere except for the hole at x = 1. 5 • This is called a removable discontinuity because it can be patched by redefining f(1. 5) so as to plug the hole.

Removable Discontinuity • This graph also has a removable discontinuity • This is removable because we could define f(1. 5) so as to plug the hole and make f continuous at f(1. 5).

Jump Discontinuity • This discontinuity is not removable because there is more than just a hole at x = -2. • It is a Jump Discontinuity because there is more than a hole, there is a jump in the function values that makes it impossible to plug with a single point.

Infinite Discontinuity • This discontinuity is not removable because there is more than just a hole at x = -1. • It is a Infinite Discontinuity at x = -1 because the two are approaching infinity. sides

Practice Continuous Discontinuous. Infinite Discontinuous. Removable Discontinuous. Infinite Jump

Homework • Wkst. • Bring calculators Monday