Question: At this point, you have learned to graph several types of functions: Linear functions, whose graphs are straight lines Polynomial functions, whose graphs are smooth,

At this point, you have learned to graph several types of functions:

  • Linear functions, whose graphs are straight lines
  • Polynomial functions, whose graphs are smooth, continuous curves with no breaks or corners, and whose end behavior is controlled by the degree of the function;
  • Rational functions, whose graphs can have holes and vertical asymptotes, and whose end behavior can (but does not have to) include horizontal and slant asymptotes;
  • Exponential functions, whose graphs have horizontal asymptotes in one direction and grow rapidly in the other direction;
  • and Logarithmic functions, whose graphs have vertical asymptotes and grow very slowly.

You have also practiced using transformations of functions to shift, stretch, and reflect graphs.

In this assignment, you are asked to take what you have learned and create an original work of art using the graphs of at least 10 functions, with at least 1 from each of the five categories above. You may choose to draw your graphs by hand, but you might also choose to use a graphing app like desmos.com or geogebra.org.

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