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Worksheet: Finding the Domain and Range of a Function Graphically

In this worksheet, we will practice working with the concepts of the domain and range of a function and identifying them from their graphs.

Q1:

The domain of the function is .

  • A
  • B
  • C
  • D
  • E

Q2:

The domain of the function is .

  • A
  • B
  • C
  • D
  • E

Q3:

Find 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 .

Q4:

Find 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 .

Q5:

Determine the domain of the following function.

  • A ℝ − { − 4 }
  • B ℝ − { 0 }
  • C { − 4 , 4 }
  • D ℝ

Q6:

Determine the domain of the function in the given figure.

  • A ℝ − { − 6 }
  • B ℝ − { 0 }
  • C { − 6 }
  • D ℝ
  • E ℝ − { 6 }

Q7:

Determine the domain of the function in the given figure.

  • A ℝ − { − 8 }
  • B ℝ − { 0 }
  • C { − 8 }
  • D ℝ
  • E ℝ − { 8 }

Q8:

Determine the domain of the function in the given figure.

  • A ℝ − { 0 }
  • B ℝ
  • C ℝ − { − 4 }
  • D ℝ − { − 5 }
  • E ℝ − { − 5 , − 4 }

Q9:

Determine the domain and the range of the function 𝑓 ( 𝑥 ) = − 4 .

  • A The domain is ℝ − { 0 } and the range is { 0 , − 4 } .
  • B The domain is { − 4 } and the range is ℝ .
  • C The domain is { 0 , − 4 } and the range is ℝ − { 0 } .
  • D The domain is ℝ and the range is { − 4 } .

Q10:

Determine the domain and the range of the function 𝑓 ( 𝑥 ) = 4 .

  • A The domain is ℝ − { 0 } and the range is { 0 , 4 } .
  • B The domain is { 4 } and the range is ℝ .
  • C The domain is { 0 , 4 } and the range is ℝ − { 0 } .
  • D The domain is ℝ and the range is { 4 } .

Q11:

Determine the domain and the range of the function represented in the shown figure.

  • AThe domain is ℝ − { 3 } , and the range is ℝ − { 4 } .
  • BThe domain is ℝ − { − 4 } , and the range is ℝ − { 3 } .
  • CThe domain is ℝ − { 4 } , and the range is ℝ − { − 3 } .
  • DThe domain is ℝ − { − 3 } , and the range is ℝ − { − 4 } .
  • EThe domain is ℝ − { − 4 } , and the range is ℝ − { − 3 } .

Q12:

Determine the domain and the range of the function represented in the shown figure.

  • AThe domain is ℝ − { − 4 } , and the range is ℝ − { 1 } .
  • BThe domain is ℝ − { − 1 } , and the range is ℝ − { − 4 } .
  • CThe domain is ℝ − { 1 } , and the range is ℝ − { 4 } .
  • DThe domain is ℝ − { 4 } , and the range is ℝ − { − 1 } .
  • EThe domain is ℝ − { − 1 } , and the range is ℝ − { 4 } .

Q13:

Determine the range of the following function.

  • A ℝ − { 7 , − 7 }
  • B ℝ − { 0 }
  • C ℝ
  • D { 7 , − 7 }
  • E ℝ − [ − 7 , 7 ]

Q14:

Determine the range of the following function.