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Lesson: Determining the Continuity or Discontinuity of a Function at a Point

In this lesson, we learn about three types of function discontinuity at a given point which are removable, jump, and infinite discontinuities.

Worksheet: Determining the Continuity or Discontinuity of a Function at a Point • 18 Questions

Q1:

Given , what can be said of the continuity of at ?

AThe function is continuous at .
BThe function is discontinuous at because
CThe function is continuous on .
DThe function is discontinuous at because is undefined.
EThe function is discontinuous at because does not exist.

Q2:

Let What can be said of the continuity of at ?

A The function is continuous at .
B The function is discontinuous at because is undefined.
C The function is discontinuous at because .
D The function is discontinuous at because does not exist.

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