Domain and Range Notes

The set of all y-values used to graph a function are called the ____.

• Domain

• Range

• Relation

• Function

What is the range of the graph?

• (-∞,∞)

• [0,∞)

• (0,5)

• [-1,∞)

What is the domain?

• [-2, 3]

• [-2, 3)

• (-2, 3]

• [-3, 4]

• (-3, 4]

What is the range of this functions?

• -6 ≤ y ≤ 3

• -6 < y < 3

• -2 ≤ y ≤ 4

What is the range of this function?

• (-∞,∞)

• (-4,2]

• (-∞,2]

• [2,-∞)

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?

• [-1, ∞)

• (-1,1)

• [1.5, ∞)

• (-2, 2)

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

Find the Range.

• All Real numbers

• 0 < y < 11

• y ≥ 0

• y > 0

What is the range of the function?

• R:{y is less than or equal to 3}

• R:{y is greater than or equal to 3}

• R:{all real numbers}

• R:{y is between and including -6 and 3}