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1. [-/9 Points] DETAILS SCALCET8 3.10.032. MY NOTES Let f(x) = (x - 1)2, g(x) = e-2x, and h(x) = 1 + In(1 - 2x).

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1. [-/9 Points] DETAILS SCALCET8 3.10.032. MY NOTES Let f(x) = (x - 1)2, g(x) = e-2x, and h(x) = 1 + In(1 - 2x). (a) Find the linearizations of f, g, and h at a = 0. LF ( x ) = 1 - 2x Lo ( x ) = 1 - 2x Lh(x) = 1 - 2x (b) Graph f, g, and h and their linear approximations. For which function is the linear approximation best? For which is it worst? Explain. The linear approximation appears to be the best for the function |f v | since it is closer to f v| for a larger domain than it is to gandh v . The approximation looks worst for hy | since h v | moves away from _ faster than fandg v | do

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