Domain and Range

What is the range of the relation graphed on the coordinate plane?

• {-8, 0, 4, 6, 8}

• {-6, -2, 0, 2, 4}

• {-8, 4, 6, 8}

• {-6, -2, 2, 4}

• {-8, -6, -2, 0, 2, 4, 6, 8}

Choose all that are elements of the range for the relation shown in the graph.

• -5

• -3

• 1

• 2

• 3

What is the domain of the relation graphed on the coordinate plane?

• <-3, -1, 1, 2, 3, 4>

• <1, 2, 3, 4>

• <-3, -2, -1, 0, 1, 2, 3, 4>

• <-3, -1, 2, 4>

What is the domain of the relation graphed on the coordinate plane?

• {-4, -2, -1, 0, 1, 2}

• {-2, -1, 0, 2}

• {-4, 0, 1}

• {-2, -1, 2}

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.

• 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)   represents the DOMAIN.

​ (b)   represents the RANGE.

What is the range of this function?

• (-5, 5)

• (-3, 3)

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 this functions?

• -6 ≤ y ≤ 3

• -6 < y < 3

• -2 ≤ y ≤ 4