Linear and Quadratic Inverses

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What is the definition of an inverse function?

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An inverse function reverses the operation of the original function, meaning if the function takes an input x to an output y, the inverse takes y back to x.

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How do you find the inverse of a function algebraically?

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To find the inverse, replace f(x) with y, switch x and y, and then solve for y.

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CCSS.HSF-BF.B.4A

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What does it mean to find the inverse of a function graphically?

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The function does not have an inverse because it is not one-to-one.

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CCSS.HSF-BF.B.4D

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What is the significance of the horizontal line test in relation to inverses?

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The horizontal line test determines if a function is one-to-one; if any horizontal line intersects the graph more than once, the function does not have an inverse.

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CCSS.HSF-BF.B.4A

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What does it mean to switch x's and y's when finding an inverse?

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Switching x's and y's means that for every point (a, b) on the original function, the point (b, a) will be on the inverse function.

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CCSS.HSF-BF.B.4A