Domain Range of Functions

• {-2, 3, 7}

• {1, 2, 2, 3, 4}

What is the domain of this function?

{(0,2), (3,5), (5,8), (7, 11)}

• {2,5,8,11}

• {0,3,5,7}

What is the range of this function?

• {3,7,9}

• {2,4,6,8}

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 domain of the function is ​ (a)   and the range for the function is ​ (b)  

• { x | x > 6 }

• { y | y > -4 }

• { x | x ≤ -4 }

• { y | y ≥ 6 }

• { x | x < -4 }

• { y | y < 6 }

• { y | y ≤ 6 }

• { y | y ≥ -4 }

What is the DOMAIN? What is the Range? ​​

• 0 ≤ x < 3

• 0 < x ≤ 3

• -2 ≤ x ≤ 1

• -2 ≤ y ≤ 1

• -2 ≤ y < 1

• -2 < y ≤ 1

• 0 ≤ x ≤ 3

• 0 ≤ y < 3

Tags

AI.9.2.A

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