# Worksheet: Continuity of Functions

In this worksheet, we will practice checking the continuity of a function over its domain and determining the interval on which it is continuous.

**Q2: **

Discuss the continuity of the function .

- A is continuous on .
- B is continuous on because it is a constant function.

**Q5: **

Find the set on which is continuous.

- A is continuous on .
- B is continuous on .
- C is continuous on .
- D is continuous on .

**Q6: **

Find the set on which is continuous.

- AThe function is continuous on .
- BThe function is continuous on .
- CThe function is continuous on .
- DThe function is continuous on .
- EThe function is continuous on .

**Q7: **

Find the set on which is continuous.

- A
- B
- C
- D

**Q8: **

Discuss the continuity of the function on .

- A is continuous on .
- B is discontinuous on .
- C is continuous on .
- D is continuous on .

**Q9: **

Find the set on which is continuous.

- A is continuous on
- B is continuous on
- C is continuous on
- D is continuous on
- E is continuous on

**Q10: **

Find the set on which is continuous.

- A is continuous on .
- B is continuous on .
- C is continuous on .
- D is continuous on .

**Q11: **

Find the set on which is continuous.

- A is continuous on .
- B is continuous on .
- C is continuous on .
- D is continuous on .

**Q14: **

Discuss the continuity if the function given

- A is continuous on .
- B is continuous on .
- C is continuous on .
- D is continuous on .

**Q15: **

If what can be said of the continuity of on the interval ?

- A is continuous on .
- B is continuous on .
- C is continuous on .
- D is continuous on .

**Q16: **

If what can be said of the continuity of on the interval ?

- A is continuous on .
- B is continuous on .
- C is continuous on .
- D is continuous on .

**Q17: **

Which of the following holds for ?

- A is continuous on .
- B is continuous on .
- C is continuous on .
- D is continuous on because it is a polynomial of first degree.
- E is continuous on .

**Q18: **

Suppose Find the set on which is continuous.

- AThe function is continuous on .
- BThe function is continuous on .
- CThe function is continuous on .
- DThe function is continuous on .

**Q19: **

Find the set on which is continuous.

- A is continuous on .
- B is continuous on .
- C is continuous on .
- D is continuous on .

**Q20: **

Determine where is continuous if

- A is continuous on .
- B is continuous on .
- C is continuous on .
- D is continuous on .
- E is continuous on .

**Q21: **

Discuss the continuity of the function , given

- AThe function is continuous on .
- BThe function is continuous on .
- CThe function is continuous on .
- DThe function is continuous on .
- EThe function is continuous on .

**Q22: **

Find the value of that makes the function continuous given

**Q23: **

Discuss the continuity of the function , given

- AThe function is continuous on .
- BThe function is continuous on .
- CThe function is continuous on .
- DThe function is continuous on .
- EThe function is continuous on .

**Q24: **

Discuss the continuity of the function on its domain, given

- A is continuous on .
- B is continuous on .
- C is continuous on .
- D is continuous on .
- E is continuous on .

**Q25: **

Suppose Find the interval on which is continuous.

- AThe function is continuous on .
- BThe function is continuous on .
- CThe function is continuous on .
- DThe function is continuous on .