Lesson Worksheet: The Domain and the Range of a Radical Function Mathematics

In this worksheet, we will practice finding the domain and the range of a radical function either from its graph or from its defining rule.

Q1:

Find the domain of the function 𝑓(𝑥)=𝑥27.

  • A
  • B[27,)
  • C[0,)
  • D
  • E

Q2:

Find the domain of the function 𝑓(𝑥)=7𝑥7.

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

Q3:

Consider the function 𝑓(𝑥)=𝑥.

Find the domain of 𝑓(𝑥).

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

Find the range of 𝑓(𝑥).

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

Q4:

Determine the domain of the function 𝑓(𝑥)=4𝑥+3.

  • A,34
  • B34
  • C
  • D34
  • E34,

Q5:

Consider the function 𝑓(𝑥)=4|𝑥5|.

Find the domain of 𝑓(𝑥).

  • A(1,9)
  • B[1,9]
  • C[0,9]
  • D(1,9)
  • E(,9]

Find the range of 𝑓(𝑥).

  • A0,22
  • B[0,2)
  • C{0}
  • D[0,2]
  • E[0,)

Q6:

Determine the domain of the function 𝑓(𝑥)=𝑥+7𝑥5.

  • A[7,)
  • B(5,)
  • C[5,)
  • D[7,){5}
  • E[7,5)

Q7:

Find the domain of 𝑓(𝑥)=𝑥19𝑥𝑥3.

  • A[1,){6}
  • B(3,9)
  • C[3,9]
  • D[1,9)
  • E[3,9]{6}

Q8:

Consider the function 𝑓(𝑥)=1252𝑥+3.

Find the domain of 𝑓(𝑥).

  • A{1}
  • B[1.5,)
  • C
  • D[1,)
  • E{1.5}

Find the range of 𝑓(𝑥).

  • A{5}
  • B(,5]
  • C[5,)
  • D
  • E(,5)

Q9:

Consider the function 𝑓(𝑥)=𝑥1.

Which of the following graphs could represent 𝑓(𝑥)?

  • A
  • B
  • C
  • D
  • E

Using the graph of 𝑓(𝑥), find its domain.

  • A[1,)
  • B[0,)
  • C
  • D(1,)
  • E[1,)

Using the graph of 𝑓(𝑥), find its range.

  • A
  • B(0,)
  • C[0,)
  • D(1,)
  • E[1,)

Q10:

Which of the following is the graph of 𝑓(𝑥)=12𝑥?

  • A
  • B
  • C
  • D
  • E

This lesson includes 30 additional questions and 342 additional question variations for subscribers.

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