Lesson Worksheet: Radical Functions Mathematics • 10th Grade

In this worksheet, we will practice graphing radical functions and then analyzing the function’s domain, range, intercepts, end behavior, continuity, and decreasing and increasing intervals.

Q1:

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

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

Q2:

What is the domain of the function 𝑥?

  • Arational numbers
  • Bnonnegative real numbers
  • Cintegers
  • Dall real numbers

Q3:

Find the domain of the function 𝑓(𝑥)=557𝑥 in .

  • A557
  • B,557
  • C557,
  • D,557

Q4:

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

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

Q5:

Determine the domain of the function 𝑓(𝑥)=8𝑥+16.

  • A[2,)
  • B(,0]
  • C
  • D
  • E

Q6:

What is the domain of the function 𝑓(𝑥)=1𝑥?

  • A𝑥<1
  • B𝑥2
  • C𝑥2
  • D𝑥1
  • E𝑥1

Q7:

Determine the domain of the function 𝑓(𝑥)=𝑥+5𝑥5.

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

Q8:

Find the domain of the function 𝑓(𝑥)=6253𝑥+498𝑥+224.

  • A1411,1623
  • B1411,1623
  • C1411,1623
  • D1411,1623
  • E1411,1623

Q9:

Determine the domain of the function 𝑓(𝑥)=5𝑥𝑥+2.

  • A[2,5]
  • B(2,5]
  • C(2,5)
  • D(2,)
  • E[5,)

Q10:

Determine the domain of the function 𝑓(𝑥)=5𝑥3𝑥5 in .

  • A,53
  • B(5,)
  • C53,
  • D53
  • E53,

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