Function Basics

What variable represents the input of a function machine?

• Piglet

• x

• y

• Pork Sausage

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the output variable of a function?

• The dependent variable

• The independent variable

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The x-axis represents the ____________ variable of a function.

Tags

CCSS.HSF.IF.A.1

The y-axis (height) represents the ____________ variable of a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What part of the point (-3, 4) is the height?

• -3

• 4

• I don't know

What part of the function is called the domain?

• Horizontal Information

• Vertical Information

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What part of the point (2, 3) is the range?

• 2

• 3

• The parentheses

• ,

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Consider the following ingredients:

1 cup butter, softened

• 1 cup white sugar

• 1 cup packed brown sugar

• 2 eggs

• 2 teaspoons vanilla extract

• 1 teaspoon baking soda

• ½ teaspoon salt

• 3 cups all-purpose flour

• 2 cups semisweet chocolate chips

Describe what the "output" of this recipe would be and why this would be the dependent variable.

Answer explanation

These ingredients (inputs) could make chocolate chip cookies, so that illustrates the "output" of the recipe. What the recipe makes depends on the ingredients that are used, so the cookies would be the dependent variable.

Consider the following ingredients:

• 1 (15 ounce) can pumpkin puree

• 1 (14 ounce) can Eagle Brand Sweetened Condensed Milk

• 2 large eggs

• 1 teaspoon ground cinnamon

• ½ teaspoon ground ginger

• ½ teaspoon ground nutmeg

• ½ teaspoon salt

• 1 (9 inch) unbaked pie crust

Describe what the "input" of this recipe would be and why this would be compared to the independent variable of a function.

Answer explanation

The ingredients represent the input variables (or x-values) and the outcome would be pumpkin pie. We choose our ingredients based on what we want to make, so the ingredients represent the independent variables in a function.

Tags

CCSS.RI.11-12.3

CCSS.RI.11-12.5

CCSS.RI.8.5

CCSS.RI.9-10.3

CCSS.RI.9-10.5

What part of the point (2, 3) is the domain?

• 2

• 3

• The parentheses

• ,

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1