Domain and Range

What is the Domain?

• {-3, -1, 1, 3, 5, 7, 9}

• {-3, -2, -1, 0, 1, 2, 3}

• -3 ≤ x ≤ 3

• -3 ≤ x ≤ 9

What is the Range?

• {-3, -1, 1, 3, 5, 7, 9}

• {-3, -2, -1, 0, 1, 2, 3}

• -3 ≤ x ≤ 3

• -3 ≤ x ≤ 9

What is the range?

• y ≥ -2

• y ≥ 0

• y < 5

• y < 2

What is the range of the following graph?

• all real numbers

• all integers

• any real number greater than zero

• it can not be determined

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.

What is the range of the function?

• y ≤ -2

• y ≤ 4

• All Real Numbers

What is the domain of a relation?

• the set of all x-values

• the set of all y-values

What is the Domain?

• y ≥ 6

• All real numbers

• -10 ≤ y ≤ 6

• -10 ≤ x ≤ 6

What is the domain of this graph?

• All Real Numbers

• x ≥ -2

• x < 6

• -2 < x < 6

• x ≤ -2