Domain and Range Functions

The set of all possible y-values

• Domain

• Range

• Interval Notation

• Inequality Notation

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The set of all possible x-values

• Domain

• Range

• Interval Notation

• Inequality Notation

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the domain of this function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of this function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

• 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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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