Lesson: Domain and Range of the Absolute Value Function

In this lesson, we will learn how to find the domain and range of absolute value functions.

Sample Question Videos

  • 02:02

Worksheet: Domain and Range of the Absolute Value Function • 17 Questions • 1 Video

Q1:

Determine the domain and the range of the function 𝑓 ( 𝑥 ) = | − 𝑥 − 1 | + 1 .

Q2:

Find the range of the function 𝑓 ( 𝑥 ) = | − 2 𝑥 − 2 | .

Q3:

Find the range of the function 𝑓 ( 𝑥 ) = | 2 𝑥 + 1 | .

Q4:

Find the domain of the function 𝑓 ( 𝑥 ) = | 3 𝑥 − 8 | .

Q5:

Find the domain and range of the function 𝑓 ( 𝑥 ) = | 3 𝑥 − 1 | + 3 𝑥 + 5 .

Q6:

Determine the domain and the range of the function 𝑓 ( 𝑥 ) = | 5 𝑥 + 5 | − 9 .

Q7:

Given that 𝑎 is a constant, what is the domain of the function 𝑓 ( 𝑥 ) = | 𝑥 + 𝑎 | ?

Q8:

Find the domain and range of the function 𝑓 ( 𝑥 ) = − 4 | 𝑥 − 5 | − 1 .

Q9:

Given that 𝑎 is a constant, what is the domain of the function 𝑓 ( 𝑥 ) = | 𝑥 − 𝑎 | ?

Q10:

Find the domain of the function 𝑓 ( 𝑥 ) = | 8 𝑥 + 7 | .

Q11:

Determine the domain and the range of the function 𝑓 ( 𝑥 ) = | 𝑥 + 1 | + 1 .

Q12:

Find the range of the function 𝑓 ( 𝑥 ) = | 𝑥 + 8 | .

Q13:

Find the range of the function 𝑓 ( 𝑥 ) = | 𝑥 − 8 | .

Q14:

Find the range of the function 𝑓 ( 𝑥 ) = | 2 𝑥 + 1 | .

Q15:

Find the range of the function 𝑓 ( 𝑥 ) = | − 2 𝑥 + 2 | .

Q16:

Find the domain of the function 𝑓 ( 𝑥 ) = | − 𝑥 + 4 | .

Q17:

Find the domain of the function 𝑓 ( 𝑥 ) = | 𝑥 − 6 | .

Preview

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.