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Consider the function f(x) = 1.5 x - \cos(x) + 3 on the interval 0\le x\le 1. For which values of c and k does the Intermediate Value Theorem

Consider the function f(x) = 1.5 x - cos(x) + 3 on the interval 0le xle 1. For which values of c and k does the Intermediate Value Theorem guarantee that there is a value c such that f(c) = k? Fill in the following mathematical statements, giving an interval with non-zero length in each case. (There are many correct answers.)

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