# Lesson Worksheet: Domain and Range of a Rational Function Mathematics • 10th Grade

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

Q1:

Find the value of given where is undefined.

• A
• B
• C
• D14
• E

Q2:

Determine the domain and the range of the function .

• 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 .

Q3:

Simplify the function , and find its domain.

• A, domain
• B, domain
• C, domain
• D, domain
• E, domain

Q4:

Find the domain of the function .

• A
• B
• C
• D

Q5:

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

• Azeros of the function
• Bzeros of the denominator of the function

Q6:

Determine the domain and the range of the function .

• 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 .

Q7:

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
• Call real numbers except
• Dall real numbers except
• Eall real numbers except

Q8:

Determine the domain and the range of the function . • 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 .

Q9:

Identify the domain of .

• A
• B
• C
• D
• E

Q10:

The function has an additive inverse if the domain is .

• A
• B
• C
• D
• E