# Continuity Questions

- Author:
- Tim Brzezinski

- Topic:
- Continuity, Functions, Limits

The following questions relate to

**continuity of a function f at an input value**If you need a refresher on what it means for a function to be continuous at any input value, refer to this worksheet.*x*= a.## Graph for Question 1

## 1)

Why is this function not continuous at x = a?

## Graph for Question 2

## 2)

Why is this function not continuous at x = a?

## Graph for Question 3

## 3)

Why is this function not continuous at x = a?