Range and Domain of a Function

Determine the domain and range of the function

• Domain: All real numbers, Range: All real numbers

• Domain: x ≥ -4, Range: All real numbers

• Domain: All real numbers, Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

Determine the domain and range of the function. Select the correct answer for domain and range.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the graph?

• All real numbers

• To infinity and beyond

• y ≥ 0

• x ≥ 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the DOMAIN?

(a)  

What is the Range? ​​ (b)  

• 0 ≤ x < 3

• 0 < x ≤ 3

• -2 ≤ x ≤ 1

• -2 ≤ y ≤ 1

• -2 ≤ y < 1

• -2 < y ≤ 1

• 0 ≤ x ≤ 3

• 0 ≤ y < 3

Tags

AI.9.2.A

What is the domain and range for this graph?

• All real numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

The domain of the function is ​ (a)   and the range for the function is ​ (b)  

• { x | x > 6 }

• { y | y > -4 }

• { x | x ≤ -4 }

• { y | y ≥ 6 }

• { x | x < -4 }

• { y | y < 6 }

• { y | y ≤ 6 }

• { y | y ≥ -4 }

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5