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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:

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 .

Q2:

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 .

Q3:

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 } .

Q4:

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 } .

Q5:

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

  • A The domain is { 5 } and the range is ℝ .
  • B The domain is ℝ and the range is ℝ .
  • C The domain is ℝ and the range is { 5 } .
  • D The domain is ℝ − { 5 } and the range is ℝ − { 0 } .

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:

The domain of the function is .

  • A
  • B
  • C
  • D
  • E

Q10:

The domain of the function is .

  • A
  • B
  • C
  • D
  • E

Q11:

Determine the domain of the function represented by the following graph.

  • A
  • B
  • C
  • D
  • E

Q12:

The figure below shows the graph of a function 𝑓 .

What is the domain of the function?

  • A the set of real numbers between 1 and 4
  • B { 1 , 2 , 3 , 4 , 5 }
  • C It is not possible to determine the domain.
  • D { 1 , 2 , 3 , 4 }
  • Ethe interval [ 1 , 4 ]

Q13:

Determine the domain of the following function.