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Worksheet: Domain and Range of the Absolute Value Function

Q1:

Determine the domain and the range of the function .

  • A The domain is and the range is .
  • B The domain is and the range is .
  • C The domain is and the range is .
  • D The domain is and the range is .

Q2:

Determine the domain and the range of the function .

  • A The domain is and the range is .
  • B The domain is and the range is .
  • C The domain is and the range is .
  • D The domain is and the range is .

Q3:

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

  • A
  • B
  • C
  • D

Q4:

Find the domain and range of the function .

  • A The domain is and the range is .
  • B The domain is and the range is .
  • C The domain is and the range is .
  • D The domain is and the range is .

Q5:

Find the domain and range of the function .

  • A
  • B
  • C
  • D

Q6:

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

  • A
  • B
  • C
  • D

Q7:

Find the domain of the function .

  • A
  • B
  • C
  • D
  • E

Q8:

Find the range of the function .

  • A
  • B
  • C
  • D

Q9:

Find the range of the function .

  • A
  • B
  • C
  • D

Q10:

Find the range of the function .

  • A
  • B
  • C
  • D

Q11:

Determine the domain and the range of the function .

  • A The domain is , and the range is .
  • B The domain is , and the range is .
  • C The domain is , and the range is .
  • D The domain is , and the range is .
  • E The domain is , and the range is .

Q12:

Find the range of the function .

  • A
  • B
  • C
  • D
  • E

Q13:

Find the range of the function .

  • A
  • B
  • C
  • D
  • E

Q14:

Find the range of the function .

  • A
  • B
  • C
  • D
  • E

Q15:

Find the domain of the function 𝑓 ( π‘₯ ) = | 3 π‘₯ βˆ’ 8 | .

  • A ℝ βˆ’  8 3 
  • B [ 0 , ∞ )
  • C  8 3 , ∞ 
  • D ℝ

Q16:

Find the domain of the function 𝑓 ( π‘₯ ) = | βˆ’ π‘₯ + 4 | .

  • A ℝ βˆ’ { 4 }
  • B [ 0 , ∞ )
  • C [ 4 , ∞ )
  • D ℝ

Q17:

Find the domain of the function 𝑓 ( π‘₯ ) = | π‘₯ βˆ’ 6 | .

  • A ℝ βˆ’ { 6 }
  • B [ 0 , ∞ )
  • C [ 6 , ∞ )
  • D ℝ