Lesson Worksheet: Domain and Range from Function Graphs Mathematics

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.

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

Q16:

Determine the domain of the function in the given figure.

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

Q17:

The domain of the function 𝑓(𝑥) is .

  • A{5,4,3,2,1}
  • B[5,1]
  • C{8,7,6,5,9}
  • D{9,8,7,6,5,4,3,2,1}
  • E[9,5]

Q18:

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 {2}.
  • EThe domain is {2}, and the range is {0}.

Q19:

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}.

Q20:

Determine the range of the following function.

  • A{0}
  • B[1,1]
  • C{1,1}
  • D{1,1}
  • E

Q21:

Determine the range of the function shown.

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

Q22:

Determine the domain of the function represented in the graph.

  • A[0,)
  • B(,2]
  • C(,0]
  • D{2}
  • E[2,)

What is the range of the function?

  • A(,0]
  • B{2}
  • C[2,)
  • D[0,)
  • E(,2]

Q23:

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

  • A{0}
  • B
  • C(0,)
  • D{1}
  • E(,1]

What is the range of the function?

  • A{1}
  • B{0}
  • C(,1]
  • D(0,)
  • E

Q24:

Which of the following graphs represents a function in which the domain is equal to the range?

  • A
  • B
  • C
  • D
  • E

Q25:

From the following graph, find the domain of the function 𝑓(𝑥)=4𝑥2𝑥+1.

  • A12
  • B[2,)
  • C,12
  • D
  • E{2}

What is the range of the function?

  • A{2}
  • B,12
  • C
  • D12
  • E[2,)

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