Domain and Range of

What is the domain of the graph?

• x ≥ -5

• x ≤ 5

• -5 ≤ x ≤ 5

• -5 ≤ x ≤ 9

• All real numbers

What is the range of the graph?

• y ≥ -5

• y ≤ 5

• -5 ≤ y ≤ 5

• -5 ≤ y ≤ 9

What is the domain of the graph?

• x ≥ -6

• -7 ≤ x ≤ 3

• -8 ≤ x ≤ 4

• x ≤ -6

• All real numbers

What is the range of the graph?

• y ≥ -6

• -7 ≤ y ≤ 3

• -8 ≤ y ≤ 4

• y ≤ -6

• 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

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

What is the range of the function?

• [-1, ∞)

• (-1,1)

• [1.5, ∞)

• (-2, 2)

What is the domain and range for this graph?

• All real numbers

Find the Range.

• (-∞, +∞)

• (0, 11)

• [0, ∞)

• (0, ∞)