AP Precalculus: Unit 2 Review

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What is a residual plot and how does it help in determining the appropriateness of a linear regression model?

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A residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis. It helps to determine if a linear regression model is appropriate by showing if the residuals are randomly scattered (indicating a good fit) or if there is a pattern (indicating a poor fit).

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What does it mean for a function's output values to increase or decrease without bound?

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It means that as the input values of the function increase or decrease, the output values continue to grow larger or smaller indefinitely, without approaching a specific limit.

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CCSS.HSF-IF.C.7E

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How do you find the inverse of a function?

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To find the inverse of a function, swap the input and output values in the equation and solve for the new output variable. This effectively reverses the mapping of the function.

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CCSS.HSF-BF.B.4A

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CCSS.HSF-IF.C.7E

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What is function composition and how is it represented?

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CCSS.HSF-BF.A.1C

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

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

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What is a rational function?

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CCSS.HSF-IF.C.7D

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What does it mean for a function to be increasing?

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is the domain of a rational function?

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The domain of a rational function is all real numbers except where the denominator equals zero, as these values would make the function undefined.

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What is the difference between a function and its inverse?

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A function maps an input to a single output, while its inverse reverses this mapping, taking the output back to the original input.

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CCSS.HSF-BF.B.4C