= 4. Consider the function f [0, 1] → R defined so that f(0) x = (1/(n+1), 1/n], where n is any positive integer, f(x) = 1/n. 0, and, for all (a) Draw the graph of the function f. (b) Is f differentiable at 0? If so, what is f'(0)? Prove your assertion. (c) What properties does the function f have? (Bounded? Differentiable? Con- tinuous? Surjective? Injective? Monotonic?)

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