F Functions Complete the Table D9B

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What is a function in mathematics?

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A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a table, or a graph.

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CCSS.8.F.A.1

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This equation represents a linear function where 'w' is dependent on 'b'. For each unit increase in 'b', 'w' increases by 10.

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CCSS.HSF.LE.B.5

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How do you find the output of a function?

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To find the output, substitute the input value into the function's equation and solve for the output.

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CCSS.HSF.IF.A.2

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What is the significance of the slope in a linear function?

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The slope indicates the rate of change of the dependent variable with respect to the independent variable.

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CCSS.8.EE.B.5

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It implies that 'p' is directly proportional to 'd' with a constant of proportionality of 9.

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How can you determine if a relation is a function?

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A relation is a function if each input corresponds to exactly one output. This can be checked using the vertical line test on a graph.

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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 'p' increases by 1 for each unit increase in 'c'.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1