Domain of the Functions

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Answer.

• A

• B

• C

• D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

• Function
• Not a Function

• Function
• Not a Function

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 ​ (a)   describes the x-values of the function.

• maximum

• extema

• relation

• function

• domain

• range

• x-intercept

• y-intercept

• rate of change

• minimum

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The concept of DOMAIN involves five "things". What are those five things?

​ ​ ​ ​ ​ ​ (a)   ​ (b)   ​ (c)   ​ (d)   ​ (e)  

Note: Put into alphabetical order.

• output

• input

• Set of second members of relation.

• Set of first members of relation.

• x

• y

• Bottom to top of graph.

• Left to right of graph.

• independent variable

• dependent variable

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

• continuous

• between 0 and 350

• less than 350

• exactly 350

• exactly 0

• discrete

• Function
• Not a Function

Tags

CCSS.8.F.A.1