Domain and Range

Identify the domain of the following relation:

• -6, 14, 2, 28

• (-6,14), (0,32), (2,38), (4,44)

• -6, 0, 2, 4

• 14, 32, 38, 44

What is the range of this function?

• -4 ≤ y ≤ 5

• -1 ≤ x ≤ 3

• All Real Numbers

• y ≥ -4

What is the domain?

• {-4, -1, 0, 2, 7}

• {-5, -4, -1, 0, 1, 2, 4, 7}

• {-5, 0, 1, 2, 4}

• {5}

Find the Range.

• All Real numbers

• 0 < y < 11

• y ≥ 0

• y > 0

Find the Range.

• All Real numbers

• 0 < y < 11

• y ≥ 0

• y > 0

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

What is the range of the function?

Give the domain and range. Tell if it is a function.

• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Function

• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Function

• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Not a Function

• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Not a Function

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 this functions?

• -6 ≤ y ≤ 3

• -6 < y < 3

• -2 ≤ y ≤ 4