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Previous Problem Problem List Next Problem (1 point) Suppose ay) : m8 + 33: + 1. In this problem, we will show that f has exactly one root (or zero) in the interval [75, 71]. (a) First, we show that f has a root in the interval (,5, *1). Since f is 8 choose v function on the interval [75, *1] and f(75) : C] and il) : [j , the graph of y : f(.') must cross the maxis at some point in the interval (*5, *1) by the choose v . Thus, f has at least one root in the interval [75, 71]. (b) Second, we show that fcannot have more than one root in the interval [5, 1] by a thought experiment. Suppose that there were two roots 9: : a and a: : b in the interval [75, *1] with a