Continuity Exploration
The following questions relate to continuity of a function f at an input value x = a.
If you need a refresher on what it means for a function to be continuous at any input value, refer to this worksheet.
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