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:

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

  • A The domain is { 1 } and the range is { 2 } .
  • B The domain is [ 2 , ) and the range is .
  • C The domain is { 2 } and the range is { 1 } .
  • D The domain is and the range is [ 2 , ) .

Q3:

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

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

Q4:

Determine the range of the following function.

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

Q5:

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

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

Q6:

Determine the domain of the following function.

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

Q7:

Determine the domain of the function in the given figure.

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

Q8:

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

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

Q9:

Determine the domain and the range of the function represented by the shown graph.

  • A The domain is { 4 } , and the range is { 0 } .
  • B The domain is ( , 0 ] , and the range is .
  • C The domain is { 0 } , and the range is { 4 } .
  • D The domain is , and the range is .
  • E The domain is , and the range is ( , 0 ] .

Q10:

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

  • A The domain is { 1 } , and the range is { 0 } .
  • B The domain is [ 0 , ) , and the range is .
  • C The domain is { 0 } , and the range is { 1 } .
  • D The domain is , and the range is .

Q11:

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

  • A { 9 , 3 }
  • B { 9 , 6 }
  • C [ 9 , 3 ]
  • D [ 9 , 6 ]
  • E { 9 , 3 }

Q12:

The figure below shows the graph of a function .

What is the domain of the function?

  • A the set of real numbers between 1 and 4
  • B
  • C It is not possible to determine the domain.
  • D
  • Ethe interval

Q13:

Find the domain and the range of the function 𝑓 ( 𝑥 ) = 2 ( 𝑥 + 7 ) 1 .

  • A The domain is { 7 } and the range is { 1 } .
  • B The domain is [ 1 , ) and the range is .
  • C The domain is { 1 } and the range is { 7 } .
  • D The domain is and the range is [ 1 , ) .

Q14:

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

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

Q15:

Determine the domain of the function in the given figure.