Functions Domain and Range and Function Notation

• A

• B

• C

• D

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

Tags

CCSS.8.F.A.1

the set of all possible x-values

• Domain

• Range

• Interval Notation

• Inequality Notation

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

the set of all possible y-values

• Domain

• Range

• Interval Notation

• Inequality Notation

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

When identifying domain and range what symbol(s) is used when the value is included?

• ( )

• [ ]

• < >

• { }

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

When identifying domain and range what symbol(s) is used when the value is not included?

• ( )

• [ ]

• ≤ ≥

• { }

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain in Interval notation?

• [ -2 , 2 ]

• [ 4 , -4 ]

• (-2 , 2 )

• (4 , -4 )

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain in interval notation?

• ( -5 , 5 )

• [-2 , -4 )

• -5 < x < 5

• -2 ≥ y > -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain in interval notation?

• [ -2 , 2 )

• ( 5 , 1 ]

• -2 ≤ x < 2

• 5 > y ≥ 1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5