Quiz on Domain and Range

State the range of the following relation:

{(1, 5), (3, 7), (6, 8), (8, 9), (3, 4)}

• {4, 5, 7, 8, 9}

• {1, 3, 6, 8}

• (1,5)

• {(1, 5), (3, 7), (6, 8), (8, 9), (3, 4)}

Each graph represents a relationship. Define range.

• (6, 6)

• (-2, 1)

• (-1, 2)

• (-2, 2]

Each graph represents a relationship. Define domain.

Each graph represents a relationship. Define domain.

• (6, -6]

• (-6, 6]

• (-6, 6)

• (6, -6)

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• : {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

• The domain of the function is {0,1,2,3,4,5}

• The range of the function {0,96,192,288,384,480}

• The domain of the function is all real numbers

• The domain of the function {0,96,192,288,384,480}

• The range of the function {0,1,2,3,4,5}

• The range of the function is all real numbers.

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• : {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

Each graph represents a relationship. Define range.

Each table represents a relationship. Define domain and range.

• Domain: [-7, -1]

  Range: [-6, 7]

• Domain: {-7, -4, -3, -1, -1}

  Range: {-6, -3, -2, 3, 7}

• Domain: {-6, -3, -2, 3, 7}

  Range: {-7, -4, -3, -1, -1}

• Domain: [-1, -7]

  Range: [7, -6]

State the domain of the following relation:

{(1, 5), (3, 7), (6, 8), (8, 9), (3, 4)}

• {4, 5, 7, 8, 9}

• {1, 3, 6, 8}

• (1,5)

• {(1, 5), (3, 7), (6, 8), (8, 9), (3, 4)}