Consider the function f(x)=0.5xcos(x)+3 on the interval 0x1 . The Intermediate Value Theorem guarantees that for certain values of k there is a number c such that f(c)=k . In the case of the function above, what, exactly, does the intermediate value theorem say? To answer, fill in the following mathematical statements, giving an interval with non-zero length in each case. For every k in the interval k , there is a c in the interval c such that f(c)=k