Simple Domain and Range

• {-2, 3, 7}

• [-2, 7]

• {1, 2, 3, 4}

• [1, 4]

What is the domain of a relation?

• the set of all x-values

• the set of all y-values

What is the domain of the relation shown in the table?

• {12}

• {6, 18}

• {3, 9, 15, 16}

• {13}

Which relation has a domain of {3,7} and a range of {0,5} ?

• (3,5), (3,7), (0,5), (0,3)

• (3,0), (7,0), (3,5), (7,5)

• (3,0), (3,5), (3,7), (7,5)

• (7,0), (5,7), (3,5) (7,5)

The mapping below represents all of the points on the graph of function f.

What is the domain and range of f.

Domain: ​ (a)  

Range: ​ (b)  

• {-5, -3, 0, 2, 4}

• {-1, 0, 1, 2, 3}

• {5}

• {-5, -3, -1, 0, 2, 3, 4}

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.

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

Find the RANGE

• {-5, -2, 1, 4}

• {1, -2, 4, -5}

• {-1, 0, 2, 3}

• {0, -1, 2, 3}