Lesson Worksheet: Radical Functions Mathematics

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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)=√7𝑥−7.

  • Aℝ−[1,∞)
  • Bℝ−{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)=√−55−7𝑥 in ℝ.

  • Aℝ−−557
  • B−∞,−557
  • C−557,∞
  • D−∞,−557

Q4:

Find the domain of the function 𝑓(𝑥)=√𝑥−27.

  • Aℝ
  • B[−27,∞)
  • C[0,∞)
  • Dℝ
  • Eℝ

Q5:

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

  • A[−2,∞)
  • B(−∞,0]
  • Cℝ
  • Dℝ
  • Eℝ

Q6:

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

  • A𝑥<1
  • B𝑥≤2
  • C𝑥≥2
  • D𝑥≤1
  • E𝑥≥1

Q7:

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

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

Q8:

Find the domain of the function 𝑓(𝑥)=6√253𝑥+498𝑥+224.

  • Aℝ−−1411,−1623
  • B−1411,−1623
  • Cℝ−−1411,−1623
  • D−1411,−1623
  • Eℝ−−1411,−1623

Q9:

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

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

Q10:

Determine the domain of the function 𝑓(𝑥)=5𝑥√3𝑥−5 in ℝ.

  • A−∞,53
  • B(5,∞)
  • C53,∞
  • Dℝ−53
  • E53,∞

This lesson includes 24 additional questions and 234 additional question variations for subscribers.

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