# Lesson Worksheet: Absolute Value Functions Mathematics

In this worksheet, we will practice evaluating and graphing absolute value functions and identifying their domain and range.

**Q4: **

Find the domain of the function .

- A
- B
- C
- D

**Q9: **

Given that is a constant, what is the domain of the function ?

- A
- B
- C
- D

**Q10: **

Find the domain of the function .

- A
- B
- C
- D
- E

**Q16: **

Find the domain of the function .

- A
- B
- C
- D

**Q17: **

Find the domain of the function .

- A
- B
- C
- D

**Q18: **

A body was moving with a uniform velocity of magnitude 5 cm/s from the point to the point passing through the point without stopping. The distance between the body and the point is given by , where is the time in seconds, and is the distance in cm. Determine the distance between the body and the point after 5 seconds and after 11 seconds.

- A15 cm, 15 cm
- B3 cm, 40 cm
- C5 cm, 5 cm
- D15 cm, 5 cm

**Q19: **

A body moved from position to position passing through position with a uniform velocity of 3 cm/s and without stopping. If the distance between the body and position is given by , where is the time in seconds, and is the distance in centimeters, determine the time interval during which the body is less than 9 cm from .

- A
- B
- C
- D

**Q20: **

Find the horizontal intercepts of the function .

- A
- B
- C
- DNo horizontal intercepts

**Q22: **

The graph of the function is formed of a ray with slope from the point , a line segment between the points and , and a ray with slope 7 from the point . Write the function in the form , where , , , and are numbers that you should find.

- A
- B
- C
- D
- E

**Q23: **

Which of the following are the correct range and domain of ?

- AThe domain is , and the range is .
- BThe domain is , and the range is .
- CThe domain is , and the range is .
- DThe domain is , and the range is .
- EThe domain is , and the range is .

**Q24: **

Which of the following is the range of ?

- A
- B
- C
- D
- E

**Q25: **

Which of the following functions has the domain and the range ?

- A
- B
- C
- D
- E