# Worksheet: Absolute Value Functions

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

**Q2: **

Find the range of the function .

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- E

**Q3: **

Find the range of the function .

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- D

**Q4: **

Find the domain of the function .

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**Q5: **

Find the domain and range of the function .

- 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 .

**Q6: **

Determine the domain and the range of the function .

- 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 .

**Q7: **

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

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**Q8: **

Find the domain and range of the function .

- 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 .

**Q9: **

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

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**Q10: **

Find the domain of the function .

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**Q12: **

Find the range of the function .

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**Q13: **

Find the range of the function .

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**Q14: **

Find the range of the function .

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- E

**Q15: **

Find the range of the function .

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**Q16: **

Find the domain of the function .

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**Q17: **

Find the domain of the function .

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**Q19: **

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.

- A 15 cm, 15 cm
- B 3 cm, 40 cm
- C 5 cm, 5 cm
- D 15 cm, 5 cm

**Q20: **

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 .

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**Q21: **

Use the graph to find the solution set of the inequality .

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