# Lesson Worksheet: Absolute Value Functions Mathematics

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

Q1:

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 .

Q2:

Find the range of the function . • A
• B
• C
• D
• E

Q3:

Find the range of the function .

• A
• B
• C
• D

Q4:

Find the domain of the function .

• A
• B
• C
• D

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 ?

• A
• B
• C
• D

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 ?

• A
• B
• C
• D

Q10:

Find the domain of the function .

• A
• B
• C
• D
• E

Q11:

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 .

Q12:

Find the range of the function .

• A
• B
• C
• D

Q13:

Find the range of the function .

• A
• B
• C
• D

Q14:

Find the range of the function . • A
• B
• C
• D
• E

Q15:

Find the range 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

Q21:

The graph in figure (i) is of , which could also be written as follows Find the values of and that would make graph (ii) that of .

• A
• B
• C
• D
• E

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