Functions Review

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What is a function rule?

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A function rule is a mathematical expression that describes the relationship between input (x) and output (y) values in a function.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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This equation represents a linear function where the output (y) is four times the input (x) plus six.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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How do you determine if a graph is linear?

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A graph is linear if it forms a straight line when plotted on a coordinate plane.

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CCSS.8.F.A.3

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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This equation signifies that the output (y) is four times the input (x), indicating a direct proportionality.

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CCSS.8.EE.B.5

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What is the difference between linear and nonlinear functions?

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Linear functions have a constant rate of change and graph as straight lines, while nonlinear functions do not have a constant rate of change and can graph as curves.

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CCSS.8.F.A.3

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In the equation, 'm' represents the slope, which indicates the steepness and direction of the line.

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CCSS.8.EE.B.5

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What does the term 'y-intercept' mean?

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How can you evaluate a function?

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To evaluate a function, substitute the given input value (x) into the function rule and calculate the output (y).

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CCSS.HSF.IF.A.2

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What is a constant in a function?

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CCSS.6.EE.A.2B