Function Notation Domain Range

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}

• D: {-4, 0, 1, 2}
  R:{-4, -3, 1}

• D: {0, 1, 2, 3, 4}
  R:{1, -3, -4}

• D: {0, 1, 2, -4}
  R: {1, -3, -4, 1}

• {-2, 3, 7}

• [-2, 7]

• {1, 2, 3, 4}

• [1, 4]

What is the Range?

• -3 ≤ y < 2

• -3 < y ≤ 2

• -7 ≤ y ≤ 2

• -7 ≤ y < 2

Explain the concept of domain and range in function notation.

• The domain is the set of all even numbers, and the range is the set of all odd numbers.

• The domain is the set of all real numbers, and the range is the set of all imaginary numbers.

• The domain is the set of all possible input values, and the range is the set of all possible output values.

• The domain is the set of all positive numbers, and the range is the set of all negative 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

What is the range of the graph?

• [-7, 5)

• (-3, 1]

• [-3, 1)

• (-7, 5]

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

• Domain

• Range

• Relation

• Function

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

• Domain

• Range

• Relation

• Function

Is relation shown a function?

• YES

• NO