Consider the function f(x)=7sin(x)−9cos(x). Functions like this come up frequently whenever some periodic behavior is being studied: sound waves, light waves, and electrical circuits are just a few examples. Graph the function on your calculator; you will see that it is similar to a sine wave, but shifted and expanded. The maximum value of sin(x) is 1, and the same for cos(x). Find the maximum value of f(x).

[Hint: This is an optimization problem, but it is designed to trip you up a little if you are just blindly following procedures. To get the correct answer it will be important that you be looking at the graph of your function.]