Graphs of Functions Domain and Range

What is the domain of the graph?

• [2,∞)

• (2,∞)

• All real numbers

• (∞, 2]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the graph?

• -7 ≤ x < 5

• -3 ≤ x < 1

• -3 ≤ y < 1

• -7 ≤ y < 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain?

• -4 < x ≤ 5

• -4 ≤ x < 5

• -3 < y < 3

• -3 ≤ y ≤ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the graph?

• -7 ≤ x < 5

• -3 ≤ x < 1

• -3 ≤ y < 1

• -7 ≤ y < 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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?

• -4 < x ≤ 5

• -4 ≤ x < 5

• -3 < y < 3

• -3 ≤ y ≤ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the following graph?

• all real numbers

• all integers

• any real number greater than zero

• it can not be determined

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain?

• x = 2

• (−∞ , ∞)

• y = 2

• none of these

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain?

• (-4 , 5]

• [-4 , 5)

• [-3 , 3)

• (-3 , 3]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5