Suppose that `f` is an even, periodic function with period `2,a n dt h a tf(x)=x` for all `x` in the interval `[0,1]` . The values of `[10f(3. 14)]` is(where [.] represents the greatest integer function) ______

Answer

0.86

Explanation

Since `f` is periodic with period 2 and `f(x)=x AA x in [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`