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Worksheet: Finding the Domain and Range of a Function Graphically

Q1:

Find the domain and the range of the function .

  • A The domain is and the range is .
  • B The domain is and the range is .
  • C The domain is and the range is .
  • D The domain is and the range is .

Q2:

Find the domain and the range of the function .

  • A The domain is and the range is .
  • B The domain is and the range is .
  • C The domain is and the range is .
  • D The domain is 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 { 4 } , and the range is { 3 } .
  • CThe domain is { 4 } , and the range is { 3 } .
  • DThe domain is { 3 } , and the range is { 4 } .
  • EThe domain is { 4 } , and the range is { 3 } .

Q4:

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

Q5:

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

  • A The domain is { 5 } and the range is .
  • B The domain is and the range is .
  • C The domain is and the range is { 5 } .
  • D The domain is { 5 } and the range is { 0 } .

Q6:

Determine the domain of the function in the given figure.

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

Q7:

Determine the domain of the function in the given figure.

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

Q8:

Determine the domain of the function in the given figure.

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

Q9:

The domain of the function is .

  • A
  • B
  • C
  • D
  • E

Q10:

The domain of the function is .

  • A
  • B
  • C
  • D
  • E

Q11:

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

  • A
  • B
  • C
  • D
  • E

Q12:

The figure below shows the graph of a function 𝑓 .

What is the domain of the function?

  • A the set of real numbers between 1 and 4
  • B { 1 , 2 , 3 , 4 , 5 }
  • C It is not possible to determine the domain.
  • D { 1 , 2 , 3 , 4 }
  • Ethe interval [ 1 , 4 ]

Q13:

Determine the domain of the following function.