Question: A function is given by a formula. Determine whether it is one-to-one. f(x) = x - 3x By definition a one-to-one function never takes

A function is given by a formula. Determine whether it is one-to-one.

A function is given by a formula. Determine whether it is one-to-one. f(x) = x - 3x By definition a one-to-one function never takes on the same value twice. In other words, f(x1) function f(x) = x - 3x is a parabola. The function has two roots; the smaller is x = Since we have two roots, there are two different values of x for which f(x) = 0. From this we can conclude whether f(x) is one-to-one. f(x2) whenever x1 x2. The graph of the and the larger is a =

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