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Lecture Notes
PDF
#Page 1 to page 2
Methods for changing a function to shift it left, right, up, or down. Includes three examples.
Prof. David Jerison
None
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PDF
#Page 2
Ways to stretch or shrink a function by changing the expression used to define it, with an example.
Prof. David Jerison
None
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PDF
#Page 2 to page 3
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.
Prof. David Jerison
None
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PDF
#Page 3 to page 6
Graphs of the sine, cosine, and tangent functions, including definitions of periodicity and the general sinusoidal wave, with examples.
Prof. David Jerison
None
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PDF
#Page 6 to page 8
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.
Prof. David Jerison
None
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Practice Problems
PDF
Problem 1 (page 1 to page 2)
Graphing a function and finding its asymptotes, maxima, minima, inflection points, and regions where the graph is concave up or concave down.
Prof. Jason Starr
None
Solution (PDF) Pages 8 to 9
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Exam Questions
PDF - 2.2 MB
#Problem 1A-1 (page 1) to problem 1A-9 (page 2)
Nine questions involving translation, change of scale, even functions, odd functions, inverses, and trigonometric functions.
Prof. David Jerison
Graphing Functions (CR-G)
Solution (PDF - 2.2 MB)# Pages 1 to 2
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PDF
Problem 2.1 (page 2) to problem 2.3 (page 2)
Three problems which involve sketching the graph of a function.
Prof. Jason Starr
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