Worksheet: Domain and Range from Function Graphs

In this worksheet, we will practice identifying the domain and range of functions from their graphs.

Q1:

The domain of the function 𝑓(𝑥) is .

  • A { 7 , 6 , 5 , 4 , 3 }
  • B [ 7 , 3 ]
  • C { 1 , 2 , 3 , 4 , 5 }
  • D { 1 , 2 , 3 , 4 , 5 , 7 , 6 , 5 , 4 , 3 }
  • E [ 1 , 5 ]

Q2:

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

  • AThe domain is {2} and the range is {1}.
  • BThe domain is and the range is [2,).
  • CThe domain is {1} and the range is {2}.
  • DThe domain is [2,) and the range is .

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

Q4:

Determine the range of the following function.

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

Q5:

Find the domain and range of the function 𝑓(𝑥)=1𝑥5.

  • AThe domain is and the range is {5}.
  • BThe domain is {5} and the range is {0}.
  • CThe domain is and the range is .
  • DThe domain is {5} and the range is .

Q6:

Determine the domain of the following function.

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

Q7:

Determine the domain of the function in the given figure.

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

Q8:

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

  • AThe domain is and the range is {4}.
  • BThe domain is {0,4} and the range is {0}.
  • CThe domain is {4} and the range is .
  • DThe domain is {0} and the range is {0,4}.

Q9:

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

  • AThe domain is (,0], and the range is .
  • BThe domain is , and the range is .
  • CThe domain is , and the range is (,0].
  • DThe domain is {0}, and the range is {4}.
  • EThe domain is {4}, and the range is {0}.

Q10:

Find the domain and the range of the function 𝑓(𝑥)=(𝑥1) in .

  • AThe domain is [0,), and the range is .
  • BThe domain is {0}, and the range is {1}.
  • CThe domain is {1}, and the range is {0}.
  • DThe domain is , and the range is .

Q11:

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

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

Q12:

The figure below shows the graph of a function 𝑓.

What is the domain of the function?

  • Athe set of real numbers between 1 and 4
  • B { 1 , 2 , 3 , 4 }
  • CIt is not possible to determine the domain.
  • Dthe interval [1,4]
  • E { 1 , 2 , 3 , 4 , 5 }

Q13:

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

  • AThe domain is {1} and the range is {7}.
  • BThe domain is and the range is [1,).
  • CThe domain is {7} and the range is {1}.
  • DThe domain is [1,) and the range is .

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

Q15:

Determine the domain of the function in the given figure.