Lesson Worksheet: Domain and Range of a Function Mathematics • 9th Grade

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

Q1:

𝑋 and π‘Œ are two sets of number where 𝑋={10,1,2,8} and π‘Œ={12,7,60,6,48,4}. The function 𝑓(π‘₯)=6π‘₯ where π‘“βˆΆπ‘‹βŸΆπ‘Œ. Find the ordered pairs that satisfy the function and its range.

  • A𝑓={(βˆ’60,10),(βˆ’6,1),(βˆ’12,2),(βˆ’48,8)}, range ={10,1,2,8}
  • B𝑓={(60,10),(6,1),(12,2),(48,8)}, range ={10,1,2,8}
  • C𝑓={(10,βˆ’60),(1,βˆ’6),(2,βˆ’12),(8,βˆ’48)}, range ={βˆ’60,βˆ’6,βˆ’12,βˆ’48}
  • D𝑓={(10,60),(1,6),(2,12),(8,48)}, range ={60,6,12,48}

Q2:

What is the range of the function 𝑓(π‘₯)=3π‘₯βˆ’1, if 𝑓’s domain is {βˆ’2,βˆ’1,0,1,2}?

  • A{βˆ’1,2,11}
  • B𝑅
  • C{0,1,2}
  • D{βˆ’1,2,35}

Q3:

Determine the range of 𝑓(π‘₯).

  • A{βˆ’8,14,βˆ’2}
  • B{βˆ’20,14,15,16,18,βˆ’8,βˆ’4,βˆ’2}
  • C{βˆ’20,βˆ’4}
  • D{16,18,15}
  • E{16,18,βˆ’20,βˆ’4,15}

Q4:

The figure below shows the graph of a function 𝑓.

What is the range of the function?

  • A{βˆ’3,βˆ’2,0}
  • B{βˆ’3,βˆ’2,βˆ’1,0}
  • CIt is not possible to determine the range.
  • D{βˆ’3,βˆ’2,βˆ’1,0,1}
  • Ethe interval [βˆ’3,0]

Q5:

Determine the domain of the function represented in the graph below.

  • A[1,∞)
  • Bβ„βˆ’{1}
  • C[4,∞)
  • Dℝ
  • Eβ„βˆ’{4}

Q6:

Determine the range of the function represented by the graph below.

  • A[1,∞[
  • B]βˆ’βˆž,βˆ’7]
  • C[βˆ’7,∞[
  • D]βˆ’βˆž,1]
  • E]1,∞[

Q7:

Determine the domain and the range of the function 𝑓(π‘₯)=π‘₯+1.

  • AThe domain of 𝑓 is (1,∞) and the range is ℝ.
  • BThe domain of 𝑓 is ℝ and the range is ℝ.
  • CThe domain of 𝑓 is ℝ and the range is [1,∞).
  • DThe domain of 𝑓 is ℝ and the range is (1,∞).
  • EThe domain of 𝑓 is [1,∞) and the range is ℝ.

Q8:

Find the domain of the function 𝑓(π‘₯)=√π‘₯+2.

  • Aℝ
  • B[2,∞)
  • C(βˆ’2,∞)
  • D[βˆ’2,∞)
  • E(2,∞)

Q9:

If π‘“βˆΆ[2,21]βŸΆβ„, where 𝑓(π‘₯)=3π‘₯βˆ’10, find the range of 𝑓.

  • A[16,73)
  • B[16,73]
  • C[βˆ’4,53]
  • D[βˆ’4,53)

Q10:

Determine the domain of the function 𝑓(π‘₯)=√|π‘₯|βˆ’33.

  • A[βˆ’33,33]
  • Bβ„βˆ’[βˆ’33,33]
  • Cβ„βˆ’(βˆ’33,33)
  • D(βˆ’33,33)

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