Domain and Range Functions

The set of all possible y-values

• Domain

• Range

• Interval Notation

• Inequality Notation

The set of all possible x-values

• Domain

• Range

• Interval Notation

• Inequality Notation

What is the domain of this function?

What is the range of this function?

What is the range of the function graphed in the image? HINT: range is y values. open circle no equal sign, closed circle gets the equal sign.

• {x | -2 ≤ x < 4}

• {x | -2 < x ≤ 4}

• {y | -3 < y ≤ 3}

• {y | -3 ≤ y < 3}

• 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

• -9 < x ≤ 2

• -9 ≤ x < 2

• -6 < f(x) ≤ 3

• -6 ≤ f(x) < 3

The domain of this function is ​ (a)   .

The range of this function is ​ (b)  

• [0,8]

• [0,23]

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 following graph? (a)   What is the domain?​ (b)  

• all real numbers

• any real number greater than zero

Tags

AI.9.2