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4.2 Inverse Functions There are only four words in the English language that end in “-dous”. Name one.
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4.2 Inverse Functions There are only four words in the English language that end in “-dous”. Name one. Tremendous Horrendous Stupendous Hazardous
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One-to-One A function is one-to-one if for each y value there is only one corresponding x value. Otherwise, it is many-to-one. many-to-one one-to-one Horizontal Line Test: If a horizontal line intersects the graph of a function f in only one point, then f is one-to-one.
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Inverses Let f denote a one-to-one function. The inverse is denoted f -1(x) and Verify that f and g are inverses of one another.
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Graphs of Inverse Functions
The graph of a function f and its inverse f -1 are symmetric with respect to the line y = x.
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Finding Inverses Domain Range Domain Range
The domain of f is equal to the range of f -1 and vice versa.
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Finding Inverses Find the inverse of where
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Finding Inverses Find the inverse of where
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Using Inverses to Find Range
Find the inverse of Then find the range of f using f -1.
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4.2 Inverse Functions Homework #13: pgs. 267 #9 – 19 odd, 27 – 41 odd,
59 – 67 EOO
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