Quiz 7 (Prequiz) - Functions III (Inverse Functions)

Quiz 7 (Prequiz) - Functions III (Inverse Functions) -...

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PreCalculus Prequiz 7 - Functions III Objectives: • You will be able to determine or verify the inverse of a function algebraically • You will be able to identify the inverse of a function graphically by showing that the graphs of a function and its inverse function are symmetrical over the line y = x. • You will be able to check for the existence of an inverse function algebraically (check for one - to - one), numerically, or graphically (using horizontal line test) Name___________________________________ Date____________________ Determine which two functions are inverses of each other. 1) f(x) = 4x g(x) = x 4 h(x) = 4 x 2) f(x) = x - 6 4 g(x) = 4x - 6 h(x) = x + 6 4 Does the graph represent a function that has an inverse function? 3) x y 4) x y 5) x y 6) x y 1
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Use the graph of f to draw the graph of its inverse function. 7) x -10 -5 10 y 10 5 -5 -10 5 8) x -10 -5 10 y 10 5 -5 -10 5 9) x -10 -5 10 y 10 5 -5 -10 5 Find the inverse of the one - to - one function. 10) f(x) = 3x - 5 11) f(x) = 8x - 1 3 12) f(x) = (x - 5) 3 13) f(x) = x - 3 14) f(x) = 3 x - 7 Graph f as a solid line and f - 1 as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of f and f - 1 . 15) f(x) = (x + 3) 3 x -10
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