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Lesson: Analyzing Square Root Functions and Finding Their Ranges and Domains

Question Video

00:49

Sample Question Videos

Worksheet • 32 Questions • 1 Video

Q1:

What is the domain of the function √ π‘₯ ?

  • Anonnegative real numbers
  • Ball real numbers
  • Cintegers
  • Drational numbers

Q2:

What is the domain of the function 𝑓 ( π‘₯ ) = √ 1 βˆ’ π‘₯ ?

  • A π‘₯ ≀ 1
  • B π‘₯ < 1
  • C π‘₯ ≀ 2
  • D π‘₯ β‰₯ 2
  • E π‘₯ β‰₯ 1

Q3:

Find the domain of the function .

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Q4:

Find the domain of the function .

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Q5:

Find the domain of the function in .

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Q6:

Find the domain of the function in .

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Q7:

Find the domain of the function .

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Q8:

Find the domain of the function .

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Q9:

Determine the domain of the function .

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Q10:

Determine the domain of the function .

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Q11:

Find the domain of the function .

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Q12:

Determine the domain of the function .

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Q13:

Determine the domain of the function in .

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Q14:

Find the domain of the function .

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Q15:

Determine the domain of the function .

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Q16:

If and are two real functions where and , find the domain of the function .

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Q17:

Find the domain of the function in .

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Q18:

Determine the domain of the function .

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Q19:

If and are two real functions where and , determine the domain of the function .

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Q20:

Find the domain of the function .

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Q21:

Determine the domain of the function .

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Q22:

Give the domain of the function 𝑓 ( π‘₯ ) = ο„ž π‘₯ + 2 π‘₯ .

  • A ( βˆ’ ∞ , βˆ’ 2 ] βˆͺ ( 0 , ∞ )
  • B ( βˆ’ 2 , ∞ )
  • C ( 0 , ∞ )
  • D ( βˆ’ ∞ , βˆ’ 0 ]
  • E ( βˆ’ ∞ , βˆ’ 2 ]

Q23:

Given the function 𝑑 ( 𝑠 ) = 1 5 βˆ’ √ π‘₯ βˆ’ 1 3 , evaluate 𝑑 ( 9 ) .

Q24:

What is the domain of the function 𝑓 ( π‘₯ ) = ( 1 βˆ’ π‘₯ ) 3 2 ?

  • A π‘₯ ≀ 1
  • B π‘₯ > 2
  • C π‘₯ ≀ 2
  • D π‘₯ > 1
  • E π‘₯ ≀ 0

Q25:

Determine the domain of the function .

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Q26:

Determine the domain of the function .

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Q27:

What is the domain of the function 𝑓 ( π‘₯ ) = ( 1 βˆ’ π‘₯ ) 2 3 ?

  • Aall real numbers
  • B π‘₯ < 1
  • C π‘₯ ≀ 1
  • D π‘₯ β‰₯ 2
  • E π‘₯ β‰₯ 1

Q28:

Find the domain of the function .

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Q29:

Find the domain of the function .

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Q30:

Determine the domain of the function .

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Q31:

Find the domain of the function .

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Q32:

Determine the domain of the function .

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