# Continuity Exploration

- Author:
- Chris, Tim Brzezinski

- Topic:
- Continuity

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? (Slide the dot to change the graph.)

## Graph for Question 2

## 2) Why is this function not continuous at x = a? (Slide the dot to change the graph.)

## Graph for Question 3

## 3) Why is this function not continuous at x = a? (Slide the dots to change the graph.)

## 4) Which of the functions below is NOT continuous at x=0 because of the reason in Question 1?

Select all that apply

- A
- B
- C
- D

## 5) Which of the functions below is NOT continuous at x=0 because of the reason in Question 2?

Select all that apply

- A
- B
- C
- D

## 6) Which of the functions below is NOT continuous at x=0 because of the reason in Question 3?

Select all that apply

- A
- B
- C
- D

## 7) Which of the functions below IS continuous at x=0?

Select all that apply

- A
- B
- C
- D