SOLVED:True or False If a function f is continuous on the interval [a, b], differentiable on the interval (a, b), and changes from an increasing function to a decreasing function at the point (c, f(c)) then (c, f(c)) is an inflection point of f.
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Suppose that a function f is continuous on the closed interval [0,1] and that 0 ≤f(x) ≤1 for every x in [0,1] . Show that there must exist a number c in [0,1] such that f(c)=c(c is called a fixed point of f). | Numerade
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