8.F.1 - Defining & Evaluating Functions

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What is a function?

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A function is a relation that assigns exactly one output value for each input value.

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CCSS.8.F.A.1

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What is the notation for a function?

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Functions are typically written in the form f(x), where f is the function name and x is the input.

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CCSS.HSF.IF.A.2

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What does it mean for a function to be linear?

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A linear function is a function whose graph is a straight line, which can be expressed in the form y = mx + b.

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CCSS.8.F.A.3

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What is the slope in a linear function?

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The slope (m) represents the rate of change of the function, indicating how much y changes for a unit change in x.

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CCSS.8.EE.B.5

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What is the y-intercept in a linear function?

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The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

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How do you evaluate a function at a specific point?

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To evaluate a function at a specific point, substitute the input value into the function's equation.

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CCSS.HSF.IF.A.2

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What is the difference between a function and a relation?

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A relation can have multiple outputs for a single input, while a function must have only one output for each input.

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CCSS.8.F.A.1

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What does it mean for a set of ordered pairs to represent a function?

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A set of ordered pairs represents a function if no input value is repeated with a different output value.

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CCSS.8.F.A.1

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What is the domain of a function?

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The domain is the set of all possible input values (x-values) for the function.

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What is the range of a function?

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The range is the set of all possible output values (y-values) that the function can produce.