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

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

Q1:

The domain of the function 𝑓(π‘₯) is .

  • A{βˆ’7,βˆ’6,βˆ’5,βˆ’4,βˆ’3}
  • B[βˆ’7,βˆ’3]
  • C{1,2,3,4,5}
  • D{1,2,3,4,5,βˆ’7,βˆ’6,βˆ’5,βˆ’4,βˆ’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(π‘₯)=βˆ’4.

  • AThe domain is ℝ and the range is {βˆ’4}.
  • BThe domain is {0,βˆ’4} and the range is β„βˆ’{0}.
  • CThe domain is {βˆ’4} and the range is ℝ.
  • DThe domain is β„βˆ’{0} and the range is {0,βˆ’4}.

Q4:

Determine the domain of the function represented in the graph.

  • Aℝ
  • Bβ„βˆ’{2}
  • C(βˆ’βˆž,2]
  • D[3,∞)
  • E(βˆ’βˆž,3]

What is the range of the function?

  • A[3,∞)
  • Bβ„βˆ’{2}
  • C(βˆ’βˆž,2]
  • D(βˆ’βˆž,3]
  • Eℝ

Q5:

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

  • Aβ„βˆ’{2}
  • Bℝ
  • C[2,∞)
  • Dβ„βˆ’{3}
  • E[3,∞)

What is the range of the function?

  • A[3,∞)
  • Bβ„βˆ’{3}
  • C[2,∞)
  • Dℝ
  • Eβ„βˆ’{2}

Q6:

Find the domain and the range of the function 𝑓(π‘₯)=(π‘₯βˆ’1) in ℝ.

  • AThe domain is [0,∞[, and the range is ℝ.
  • BThe domain is β„βˆ’{0}, and the range is β„βˆ’{1}.
  • CThe domain is β„βˆ’{1}, and the range is β„βˆ’{0}.
  • DThe domain is ℝ, and the range is ℝ.

Q7:

Determine the domain of the function represented in the graph.

  • A[0,∞)
  • B(βˆ’βˆž,βˆ’2]
  • C(βˆ’βˆž,0]
  • Dβ„βˆ’{βˆ’2}
  • E[βˆ’2,∞)

What is the range of the function?

  • A(βˆ’βˆž,0]
  • Bβ„βˆ’{βˆ’2}
  • C[βˆ’2,∞)
  • D[0,∞)
  • E(βˆ’βˆž,βˆ’2]

Q8:

Determine the domain of the following function.

  • Aβ„βˆ’{0}
  • Bℝ
  • C{βˆ’4,4}
  • Dβ„βˆ’{βˆ’4}

Q9:

Find the domain and range of the function 𝑓(π‘₯)=βˆ’1π‘₯βˆ’5.

  • AThe domain is ℝ and the range is {5}.
  • BThe domain is β„βˆ’{5} and the range is β„βˆ’{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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