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/0. Calculus Let [x] be the floor function, i.e [x] is the largest integer that is less or equal to x. For example (2.3] = 2, [4] = 4, [-5.3] = -6, [-7] = -7. Now consider the function f with domain R, defined by f(x) = x- [x]. (a) Sketch the graph of the function f, clearly indicating which points are on the graph and which aren't. (b) What is the range of f? Write the range in interval notation. (c) Find an interval such that the function that is obtained by re- stricting f to this interval is a one-to-one function and has the same range as f