What is the solution for 3x = 5? Do you agree that it is between 1 and 2 because 31 = 3 and 32 = 9? Now graph f (x) = 3x - 5 and use the zoom and trace features of your graphing calculator to find an approximation, to the nearest hundredth, for the x intercept. You should get an answer of 1.46, to the nearest hundredth. Do you see that this is an approximation for the solution of 3x = 5? Try it; raise 3 to the 1.46 power. Find an approximate solution, to the nearest hundredth, for each of the following equations by graphing the appropriate function and finding the x intercept. 3x-1 = 34

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.