Interpret Domain and Range of Functions

Use the graph of f to find the domain and range of the function.

• D = (−3, 3], R = [–3, 0]

• D = [−3, 3), R = [–3, 0]

• D = (−3, 3), R = [–3, 0]

• D = [−3, 3], R = [–3, 0]

Is this mapping a function or not a function? 

• Function

• Not a Function

{(0,1), (1,-3), (2,-4), (-4,1)}

List out the domain and the range.

Evaluate responses using AI:

OFF

Jenny says that this mapping diagram DOES NOT represent a function because the inputs of -1, 1 and, 0 share an output of 0.

Explain why you agree or disagree with Jenny.

Evaluate responses using AI:

OFF

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

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

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

• ARN

• y

• >

• G

• x

• <

• E

• B

• A

• H

The domain for any quadratic function is all real numbers.

• True

• False

What is the range of the function?

• [-1, +∞)

• (-1,1)

• [1.5, +∞)

• (-2, 2)

Find the Range.

• (-∞, +∞)

• (0, 11)

• [0, ∞)

• (0, ∞)