Lesson Worksheet: Increasing and Decreasing Intervals of a Function Mathematics
In this worksheet, we will practice finding the intervals over which a function is increasing, constant, or decreasing.
Q4:
Which of the following correctly describes the monotonicity of the function represented by the graph in the figure below?
- AThe function is increasing on and constant on .
- BThe function is decreasing on and constant on .
- CThe function is decreasing on and constant on .
- DThe function is increasing on and constant on .
Q5:
Which of the following statements correctly defines the domain and range of the function and accurately describes its monotonicity?
- AThe domain is , the range is , and the function is decreasing over its domain.
- BThe domain is , the range is , and the function is increasing over its domain.
- CThe domain is , the range is , and the function is increasing over its domain.
- DThe domain is , the range is , and the function is decreasing over its domain.
- EThe 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 .
Q8:
Is the function shown increasing, decreasing, or constant in the interval ?
- Aincreasing
- Bconstant
- 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 increasing on and increasing on .
- DThe function is decreasing on and decreasing on .
Q10:
The graph of a function is given below. Which of the following statements about the function is true?
- AThe function is constant on and constant on .
- BThe function is constant on and constant on .
- CThe function is constant on and constant on .
- DThe function is constant on and constant on .
Q11:
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 .
- B is increasing on and .
- C is increasing on .
- D is increasing on and decreasing on .
- E is decreasing on and .
Q14:
How do the values of the function behave as increases?
- AThe values of increase.
- BThe values of decrease.
- CThe values of are constant.
Q15:
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 .
- E is increasing everywhere.
Q16:
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 .
Q17:
Which of the following statements correctly describe the monotony of the function represented in the figure below?
- AThe function is increasing on , constant on , and decreasing on .
- BThe function is increasing on , constant on , and decreasing on .
- CThe function is increasing on and decreasing on .
- DThe function is increasing on and decreasing on .
Q18:
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 .
Q19:
Which of the following statements correctly describe the monotony on the domain of the function represented in the figure below?
- 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 .
Q20:
The graph of a function is given below. Which of the following statements about the function is true?
- 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 .
Q21:
Which of the following statements is true for the function ?
- A is increasing on and decreasing on .
- B is increasing on .
- C is decreasing on .
- D is increasing on and decreasing on .
Q22:
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
Q23:
Which of the following statements is true for the function ?
- A is increasing on and decreasing on .
- B is increasing on .
- C is decreasing on .
- D is increasing on and decreasing on .
Q24:
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 .
Q25:
Discuss the monotony of the function represented by the following graph.
- AThe function is decreasing on and constant on .
- BThe function is increasing on and constant on .
- CThe function is decreasing on and constant on .
- DThe function is increasing on and constant on .