Study the graph below of the function defined by . For this function identify the domain, range, interval(s) of increase, intervals of upward concavity and downward concavity, and the point of inflection.

The graph of the function is reflected along the -axis. Give the defining equation, domain, range, absolute minimum, interval(s) of decrease and interval(s) of downward concavity of the new graph which is a result of the reflection.

Study the graph below of the function defined by on the restricted domain. This graph is the result of a translation of a standard function. Give the standard function and the translation that gives . For the function identify the standard function, translation, domain, range, absolute minimum, interval(s) of increase and interval(s) of downward concavity.

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in interval notation.

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                                          Graph 1

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                                          Graph 2

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                                          Graph 3

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