Let f(x) = (x - 1), g(x) = e-2x, and h(x) = 1 + In(1-2x). (a)...

 

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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. 1-2x Lf(x) = Lg(x) = 1-2x 1-2x 1-2r (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 moves away from L faster than -Select- do. since it is closer to? for a larger domain than it is to -Select- . The approximation looks worst for ✓since ? 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. 1-2x Lf(x) = Lg(x) = 1-2x 1-2x 1-2r (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 moves away from L faster than -Select- do. since it is closer to? for a larger domain than it is to -Select- . The approximation looks worst for ✓since ?