Function, Domain, Range

• Function
• Not a Function

What is the domain?

• {-2, -1, 0, 1, 8}

• {3, 5, 7 , 9, 0}

• {-2, -1, 0, 1, 3, 5, 7, 8, 9}

• {-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

What is the range?

• {-3, -1, 2, 4}

• {0, 4, 7} 

• {0, 4, 4, 7}

• {2, 4, 0}

• Function
• Not a Function

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

• The domain of the function is {0,1,2,3,4,5}

• The range of the function {0,96,192,288,384,480}

• The domain of the function is all real numbers

• The domain of the function {0,96,192,288,384,480}

• The range of the function {0,1,2,3,4,5}

• The range of the function is all real numbers.

A (a)   is a mathematical relation that maps a set of input values to a set of output values such that each input value is mapped to exactly one output value. The set of input values of a function is called the (b)   , represented by the (c)   variable. The set of output values of a function is called the ​ (d)   , represented by the ​ (e)   variable.​ ​ ​

• function

• domain

• range

• independent

• dependent

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 graph shown has a domain of​ (a)   .

It has a range of (b)   ​ (c)   (d)   . ​

• ARN

• y

• >

• G

• x

• <

• E

• B

• A

• H

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

• Function
• Not a Function