Suppose that f is an even, periodic function with period 2, and that f(x)=x for all x in the interval [0, 1]. The value of [10f(3.14)] is (where [.] represents the greatest integer function) ______ .
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answer is 8.
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Detailed Solution
Since f is periodic with period 2 and f(x)=x∀x∈[0,1], and f(x) is even, there is symmetry about y-axis. Therefore, graph of f(x) is as shown.f(3.14)=4−3.14=0.86