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Lesson: Finding the Domain and Range of Rational Functions

Question Video: Determining the Domain and the Range of a Rational Function given Its Graph

11:01

Worksheet: Finding the Domain and Range of Rational Functions • 18 Questions

Q1:

The domain of an algebraic fractional function is the set of all real numbers except the .

  • A zeros of the function
  • B zeros of the denominator of the function

Q2:

Find the value of given where is undefined.

  • A
  • B14
  • C
  • D
  • E

Q3:

Find the value of given where is undefined.

  • A
  • B32
  • C4
  • D
  • E

Q4:

Find the value of given where is undefined.

  • A
  • B9
  • C
  • D
  • E

Q5:

Find the domain and 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 .

Q6:

Determine the domain and the range of the function in .

  • 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 .

Q7:

Determine the domain and the range of the function in .

  • 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 .

Q8:

Determine the domain and the range of the function represented in the shown figure.

  • AThe domain is , and the range is .
  • BThe domain is , and the range is .
  • CThe domain is , and the range is .
  • DThe domain is , and the range is .
  • EThe domain is , and the range is .

Q9:

Determine 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 .

Q10:

Determine 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 .
  • E The domain is and the range is .

Q11:

Define a function on real numbers by .

What is the domain of this function?

  • Aall real numbers except
  • Ball real numbers except
  • Call real numbers except
  • Dall real numbers except
  • Eall real numbers

Find the one value that cannot take.

  • A
  • B
  • C
  • D
  • E

What is the range of this function?

  • Aall real numbers except
  • Ball real numbers except
  • Call real numbers
  • Dall real numbers except
  • Eall real numbers except

Q12:

Determine the domain of the function .

  • A
  • B
  • C
  • D
  • E

Q13:

Given that , determine the domain on which the function has a multiplicative inverse.

  • A
  • B
  • C
  • D
  • E

Q14:

Given that the domain of the function is , what is the value of ?

  • A
  • B