Methods for changing a function to shift it left, right, up, or down. Includes three examples.
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
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Ways to stretch or shrink a function by changing the expression used to define it, with an example.
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
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How to reflect a function across either of the coordinate axes, including definitions for even and odd functions. Rules for the behavior of even and odd functions are given, along with examples.
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
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Graphs of the sine, cosine, and tangent functions, including definitions of periodicity and the general sinusoidal wave, with examples.
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
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Reflecting a graph across the line y=x to create an inverse function. Includes examples and discussion of the need to restrict the domain of the inverse function in some cases.
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
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Graphing a function and finding its asymptotes, maxima, minima, inflection points, and regions where the graph is concave up or concave down.
18.01 Single Variable Calculus, Fall 2005
Prof. Jason Starr
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Nine questions involving translation, change of scale, even functions, odd functions, inverses, and trigonometric functions.
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
Course Material Related to This Topic:
Three problems which involve sketching the graph of a function.
18.01 Single Variable Calculus, Fall 2005
Prof. Jason Starr
Course Material Related to This Topic: