Introduction to Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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CCSS.8.F.A.1

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What is the independent variable in a function?

Back

The independent variable is the input value that can be changed freely without depending on other variables.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What is the dependent variable in a function?

Back

The dependent variable is the output value that depends on the value of the independent variable.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What does the x-axis represent in a graph?

Back

The x-axis represents the independent variable in a graph.

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does the y-axis represent in a graph?

Back

The y-axis represents the dependent variable in a graph.

Front

How do you identify a function from a set of ordered pairs?

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A set of ordered pairs is a function if no two pairs have the same first element (input) with different second elements (outputs).

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CCSS.8.F.A.1

Front

What is an input-output table?

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An input-output table is a table that shows how each input is paired with an output in a function.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the rule of a function?

Back

The rule of a function describes the relationship between the input and output, often expressed as an equation.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What does it mean to 'subtract 9' in a function?

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To 'subtract 9' means that for every input value, you take that value and decrease it by 9 to find the output.

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What is the equation of a linear function?

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The equation of a linear function can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2