Domain and Range in Context

• all integers

• all rational numbers that are multiples of 1.25

• all real numbers that are multiples of 1.25

• all whole numbers

• all real numbers

• all real numbers that are multiples of 0.05

• all whole numbers

• all whole numbers from 0 to 20

• all real numbers

• all integers less than or equal to 5,000

• all multiples of 1.25 less than or equal to 5,000

• all integers between 0 and 5,000 inclusively

• all non-negative real numbers less than or equal to 5,000

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

• all integers

• all rational numbers

• all real numbers

• all whole numbers

• all positive integers

• all positive real numbers that are multiples of 0.04

• all real numbers

• all real numbers greater than or equal to 0

• All real numbers

• All positive integers

• all real numbers

• integers

• rational numbers

• whole numbers