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