# 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.

**Q3: **

What can be said about the continuity of the function ?

- A is discontinuous on because it is a polynomial.
- B is continuous on because it is a polynomial.

**Q4: **

What can be said about the continuity of the function ?

- A is continuous on because is continuous on
- B is continuous on because is a polynomial, and is continuous on .
- C is continuous on because is a polynomial.

**Q6: **

Find the set on which is continuous.

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

**Q7: **

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 .

**Q8: **

Find the set on which is continuous.

- A
- B
- C
- D

**Q9: **

Discuss the continuity of the function on .

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

**Q12: **

Find the set on which is continuous.

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

**Q13: **

Discuss the continuity of the function , given

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

**Q14: **

Discuss the continuity of the function , given

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

**Q15: **

Discuss the continuity if the function given

- 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: **

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 .

**Q18: **

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 .

**Q19: **

Suppose Find the set on which is continuous.

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

**Q20: **

Find the set on which is continuous.

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

**Q21: **

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 .

**Q22: **

Discuss the continuity of the function on , given

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

**Q23: **

Discuss the continuity of the function , given

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

**Q24: **

Find the value of that makes the function continuous given

- A
- B76
- C
- D
- E

**Q25: **

Discuss the continuity of the function , given

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