Function Tables

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What is a function table?

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A function table is a chart that shows how each input value relates to an output value based on a specific rule or equation.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What does it mean when we say 'the output is 3 times as much as the input'?

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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How do you determine the rule for a function table?

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To determine the rule, look for a consistent pattern in how the input values change to produce the output values.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What is the equation for a linear function?

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What does the slope of a line represent in a function?

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The slope represents the rate of change of the output value with respect to the input value.

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CCSS.8.EE.B.5

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If the rule is 'multiply the number of days by 7 and add 1', what is the output for 3 days?

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What is the significance of the y-intercept in a function?

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The y-intercept is the point where the line crosses the y-axis, representing the output value when the input is zero.

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How can you verify if an equation matches a function table?

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You can verify by substituting the input values into the equation and checking if the output values match those in the table.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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This equation represents a linear function where the output increases by 4 for every increase of 1 in the input, starting from 3.

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CCSS.HSF.LE.B.5

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CCSS.6.EE.C.9