Lesson Worksheet: Domain and Range from Function Graphs Mathematics • 9th Grade

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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:

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}

Q3:

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

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

Q4:

Determine the domain of the function represented in the graph.

  • Aℝ
  • Bℝ−{2}
  • C(−∞,2]
  • D[3,∞)
  • E(−∞,3]

What is the range of the function?

  • A[3,∞)
  • Bℝ−{2}
  • C(−∞,2]
  • D(−∞,3]
  • Eℝ

Q5:

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

  • Aℝ−{2}
  • Bℝ
  • C[2,∞)
  • Dℝ−{3}
  • E[3,∞)

What is the range of the function?

  • A[3,∞)
  • Bℝ−{3}
  • C[2,∞)
  • Dℝ
  • Eℝ−{2}

Q6:

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

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

Q7:

Determine the domain of the function represented in the graph.

  • A[0,∞)
  • B(−∞,−2]
  • C(−∞,0]
  • Dℝ−{−2}
  • E[−2,∞)

What is the range of the function?

  • A(−∞,0]
  • Bℝ−{−2}
  • C[−2,∞)
  • D[0,∞)
  • E(−∞,−2]

Q8:

Determine the domain of the following function.

  • Aℝ−{0}
  • Bℝ
  • C{−4,4}
  • Dℝ−{−4}

Q9:

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

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

Q10:

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

  • A
  • B
  • C
  • D
  • E

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