Domain Range Functions and Function Notation

• A

• B

• C

• D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

Find the domain and range of the function pictured here. Click graph to enlarge.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Explain the concept of domain and range in function notation.

• The domain is the set of all even numbers, and the range is the set of all odd numbers.

• The domain is the set of all real numbers, and the range is the set of all imaginary numbers.

• The domain is the set of all possible input values, and the range is the set of all possible output values.

• The domain is the set of all positive numbers, and the range is the set of all negative numbers.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the domain and range of the graph?

• D: { x | 0 < x < 3}

  R: { y | 0 < y < 36}

• D: { y | 0 < y < 3}

  R: { x | 0 < x < 36}

• D: { x | 0 < x < 36}

  R: { y | 0 < y < 3}

• D: { y | 0 < y < 36}

  R: { x | 0 < x < 3}

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.

The graph shown has a domain of​ (a)   .

It has a range of (b)   ​ (c)   (d)   . ​

• ARN

• y

• >

• G

• x

• <

• E

• B

• A

• H

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5