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Students, Take out your calendar and your homework Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary.

Inverse Functions Functions can be written as a set of ordered pairs. If we reverse the order of the coordinates (switch them) we obtain the inverse function of f:

Existence of an Inverse A function has an inverse if and only if it is one-to-one. This means that no two elements in the domain of a function correspond to the same element in the range. To test for an inverse (does one exist), use the horizontal line test.

Find the inverse function of Example 6 Find the inverse function of .

Graph each function on your graphing calculator Graph each function on your graphing calculator. Describe the difference between each. Which is the parent function?

Find the domain of the functions.

Determine the relative minima and maxima of the following function Determine the relative minima and maxima of the following function. Determine where the graph is increasing, decreasing, and constant.

Compositions of Functions