Suppose that f is an even, periodic function with period 2, and that f(x) =x for all x in the interval [0, 1]. then the value of f(3.14) is ________
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answer is 0.86.
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Detailed Solution
Since f is periodic with period 2 and fx=x∀x∈0,1, and f(x) is even, there is symmetry about y-axis. Therefore, graph of(x) is as shown.f3.14=4-3.14=0.86