Domain Range Function

Is the following relation a function?

{(-5, 4), (-4, -1), (-2, 1), (0, 4), (1, 3)}

• Yes

• No

What is the domain of the following relation?

{(-5, 4), (-4, -1), (-2, 1), (0, 4), (1, 3)}

• D={-5, -4, -2, 0, 1}

• D={0, 1, 2, 4, 5}

• D={-1, 1, 3, 4}

What is the domain of the following relation?

• D={0, 1, 2, 3}

• D={-3, -1, 0, 2}

• D={-4, 0, 2, 4, 5}

Is the following relation a function?

{(-3, -4), (-1, 2), (0, 0), (-3, 5), (2, 4)}

• Yes

• No

Domain:​ (a)  

Range: ​ (b)  

• all real numbers

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

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

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