Functions, Domains, and Range

What is the RANGE of this graph?

• -7 < x < 5

• -7 ≤ y < 5

• -3 < x < 1

• -3 ≤ y < 1

What is the range of the graph?

• (-∞,∞)

• [-1,0]

• [-1,3]

• [3,∞)

Is this mapping a function or not a function? 

• Function

• Not a Function

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 }

What is the DOMAIN? What is the Range? ​​

• 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

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

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.