In this worksheet, we will practice finding the intervals over which a function is increasing, constant, or decreasing.

**Q3: **

The graph of a function is given below. Which of the following statements about the function is true?

- A The function is decreasing on .
- B The function is increasing on .
- C The function is constant on .
- D The function is constant on .
- E The function is increasing on .

**Q4: **

Which of the following correctly describes the monotonicity of the function represented by the graph in the figure below?

- A The function is increasing on and constant on .
- B The function is decreasing on and constant on .
- C The function is increasing on and constant on .
- D The function is decreasing on and constant on .

**Q5: **

Which of the following statements correctly defines the domain and range of the function and accurately describes its monotonicity?

- A The domain is , the range is , and the function is decreasing over its domain.
- B The domain is , the range is , and the function is increasing over its domain.
- C The domain is , the range is , and the function is increasing over its domain.
- D The domain is , the range is , and the function is decreasing over its domain.
- E The domain is , the range is , and the function is decreasing over its domain.

**Q6: **

Which of the following statements is true for the function ?

- A is increasing on and decreasing on .
- B is increasing on and decreasing on .
- C is increasing on and decreasing on .
- D is increasing on and decreasing on .

**Q7: **

A particle is moving in a straight line such that its velocity after seconds is given by When is the velocity of the particle increasing?

- A
- B
- C
- D

**Q8: **

Is the function shown increasing, decreasing, or constant in the interval ?

- Aconstant
- Bincreasing
- Cdecreasing

**Q9: **

The graph of a function is given below. Which of the following statements about the function is true?

- AThe function is increasing on and increasing on .
- BThe function is decreasing on and decreasing on .
- CThe function is decreasing on and decreasing on .
- DThe function is increasing on and increasing on .

**Q10: **

Given that , determine the intervals on which is increasing or decreasing.

- AThe function is increasing on the intervals and and decreasing on the interval .
- BThe function is increasing on the interval and decreasing on the intervals and .
- CThe function is increasing on the interval and decreasing on the intervals and .
- D The function is increasing on the intervals and and decreasing on the interval .
- EThe function is increasing on the intervals and and decreasing on the interval .

**Q11: **

The graph of a function is given below. Which of the following statements about the function is true?

- A The function is constant on and constant on .
- B The function is constant on and constant on .
- C The function is constant on and constant on .
- D The function is constant on and constant on .

**Q12: **

Determine the intervals of increase and decrease of the function given that .

- A is increasing on the interval and decreasing on the interval .
- B is increasing on the interval and decreasing on the interval .
- C is increasing on the interval and decreasing on the interval .
- D is increasing on the interval and decreasing on the interval .

**Q13: **

Which of the following statements is true for the function ?

- A is decreasing on the intervals and .
- B is increasing on the intervals and .
- C is increasing on the intervals and .
- D is decreasing on the intervals and .

**Q14: **

Which of the following statements is true for the function ?

- A is increasing on .
- B is decreasing on and .
- C is decreasing on .
- D is increasing on and .
- E is increasing on and decreasing on .

**Q15: **

How do the values of the function behave as increases?

- AThe values of are constant.
- BThe values of increase.
- CThe values of decrease.

**Q16: **

Determine the intervals of increase and decrease of the function given that .

- A is increasing on the interval and decreasing on the interval .
- B is increasing on the interval and decreasing on the interval .
- C is increasing everywhere.
- D is increasing on the interval and decreasing on the interval .
- E is increasing on the interval and decreasing on the interval .

**Q17: **

Which of the following statements is true for the function ?

- A is increasing on and decreasing on .
- B is increasing on and decreasing on .
- C is increasing on and decreasing on .
- D is increasing on and decreasing on .

**Q18: **

Which of the following statements correctly describe the monotony of the function represented in the figure below?

- A The function is increasing on and decreasing on .
- B The function is increasing on , constant on , and decreasing on .
- C The function is increasing on and decreasing on .
- D The function is increasing on , constant on , and decreasing on .

**Q19: **

Which of the following statements is true for the function ?

- A is increasing on and increasing on .
- B is decreasing on and decreasing on .
- C is decreasing on and decreasing on .
- D is increasing on and increasing on .

**Q20: **

Which of the following statements correctly describe the monotony on the domain of the function represented in the figure below?

- A The function is increasing on and decreasing on .
- B The function is increasing on and decreasing on .
- C The function is increasing on and decreasing on .
- D The function is increasing on and decreasing on .

**Q21: **

- AThe function is increasing on and decreasing on .
- BThe function is increasing on and decreasing on .
- CThe function is increasing on and decreasing on .
- DThe function is increasing on and decreasing on .

**Q22: **

Which of the following statements is true for the function ?

- A is increasing on and decreasing on .
- B is increasing on .
- C is increasing on and decreasing on .
- D is decreasing on .

**Q23: **

Discuss the monotonicity of the following function on its domain.

- Aincreasing on and decreasing on
- Bincreasing on and decreasing on
- Cincreasing on and decreasing on
- Dincreasing on and decreasing on

**Q24: **

Which of the following statements is true for the function ?

- A is increasing on and decreasing on .
- B is increasing on and decreasing on .
- C is increasing on .
- D is decreasing on .

**Q25: **

Determine the intervals of increase and decrease of the function given that .

- A is increasing on the interval and decreasing on the interval .
- B is increasing on the interval and decreasing on the interval .
- C is increasing on the interval and decreasing on the interval .
- D is increasing on the interval and decreasing on the interval .