8.F.1-5 Functions Review

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What is a function?

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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 definition of a linear function?

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is the slope of a line?

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The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

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CCSS.8.EE.B.5

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What does the y-intercept represent in a function?

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

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How can you determine if a function is linear or nonlinear?

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CCSS.8.F.A.3

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What is the equation of a linear function?

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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In this equation, the slope (0.5) represents the per-mile fee for the moving truck.

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CCSS.HSF.LE.B.5

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What is a nonlinear function?

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A nonlinear function is a function that does not form a straight line when graphed. Examples include quadratic functions, exponential functions, and others.

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CCSS.8.F.A.3

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What is the significance of the initial fee in a cost function?

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The initial fee is a fixed cost that must be paid regardless of the number of units (e.g., guests, miles) used.

Tags

CCSS.HSF.LE.B.5

Front

How do you find the y-intercept from an equation?

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