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Increasing, decreasing, non-increasing, and non-decreasing functions are defined. First Derivative Test is explained and an example is given.
Local and global extrema (maxima and minima) are defined. Critical points are defined. Includes short example.
Concavity of a function defined as it relates to f, f', and f''. The Second Derivative Test is explained and an example is given.
Graphing a function and finding its asymptotes, maxima, minima, inflection points, and regions where the graph is concave up or concave down.
Two questions which involve sketching the graph of a function, showing all zeros, maxima, minima, and points of inflection.
Sketching a graph and finding the maxima, minima, points of inflection, and regions where the graph is concave up and concave down.
Sketching the graph of a function, including its critical points, points of inflection, and regions where the graph is increasing, decreasing, concave up, or concave down.
Seven questions which involve sketching graphs and finding inflection points, maxima, and minima as well as regions where a function is increasing, decreasing, or zero.
Eight-part problem which involves sketching a graph and finding the asymptotes, maxima, minima, and inflection points of the graph.