Appropriate Domain and Range

Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?

• Integers

• Whole Numbers

• Irrational Numbers

• Rational Numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

At an ice cream shop, the profit, P(x), is modeled by the function P(x) = 0.87x, where x represents the number of ice cream cones sold. An appropriate domain for this function is

• {...,-3, -2, -1, 0, 1, 2, 3...}

• {0, 1, 2, 3,...}

• {0.87, 1.74, 2.61...}

• Irrational Numbers

The total cost for potatoes, y, at a grocery store can be modeled by the equation 

y = 0.59x, where x is the number of pounds of potatoes. What is the most appropriate domain of the function?

• all non negative real numbers

• all non negative integers

• all real numbers

• all integers

A rental company uses the function

 f(x) = 150x + 75 to calculate the cost to rent a beach house x number of nights. The maximum number of nights the beach house can be rented is 30. What is the domain of the function?

•  0 ≤ x ≤ 30,  where x is a whole number

•  0 < x < 30, where x is a whole number

•  0 ≤ x ≤ 4,575,  where x is a whole number

• 0 < x < 4,575, where x is a whole number

• 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 this functions?

• -6 ≤ y ≤ 3

• -6 < y < 3

• -2 ≤ y ≤ 4

Tags

CCSS.HSF-IF.C.7A

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.

What is the range of this function?

• (-5, 5)

• (-3, 3)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Give the domain and range. Tell if it is a function.

• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Function

• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Function

• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Not a Function

• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Not a Function

Tags

CCSS.8.F.A.1