Lesson 5 | Limits and Continuity | 11th Grade Mathematics

Objective

Define continuity of functions and determine whether a function is continuous on a particular domain.

Topic A: Limits and Continuity

Graph, write, and evaluate linear piecewise functions.

Use interval and function notation to describe the behavior of piecewise functions.

Sketch a slope graph from a linear piecewise function.

Find limits, including left- and right-hand limits, on a function given graphically.

Define continuity of functions and determine whether a function is continuous on a particular domain.

Write and evaluate piecewise functions algebraically and graphically using parent functions.

State and evaluate limits algebraically.

Evaluate infinite limits and limits at infinity.

Sketch functions given limits and continuity requirements.