Lesson: Continuity at a Point Mathematics • 12th Grade

In this lesson, we will learn how to check the continuity of a function at a given point.

Lesson Plan

Students will be able to

understand the definition of continuity at a point,
find whether a given function is continuous for a given value of ,
identify which condition is not met when a given function is discontinuous at a point,
identify how a given function can be made continuous at a point by determining the value of an unknown constant.

Q1:

Discuss the continuity of the function at , given

Q2:

Given , if possible or necessary, define so that is continuous at .

Q3:

Given , if possible or necessary, define so that is continuous at .