Want to boost your grade a little?

Below are links to two YouTube videos created by Patrick Somebody, a fabulous math tutor. I think I posted links to his videos last semester.  In any case, for extra credit, you can work on curve sketching.  Here is the breakdown:

1.  Watch both videos.  (That will take no more than 20 minutes.  I don't remember the length of each.)
2.  Using the functions below, make a chart with the following information:
      a.  Domain
      b.  x- and y-intercepts
      c.  Symmetry
      d.  Vertical Asymptotes
      e.  Horizontal or Slant Asymptotes
      f.   Increasing Intervals
      g.  Decreasing Intervals
      h.  Extrema
      i.  Concavity
      j.  Points of Inflection
     k.  Extra Points (if needed)
3.  Talk to me to get large sheets of graph paper which you may use to sketch your graphs.  This paper has a grid on top and blank space beneath where you can copy your chart.
4.  Graph the function(s) large enough to fill the space.
5.  The full chart must be shown.
6.  All your work should be on other paper and must be turned in with the graphs.  **Adequate work must be shown in order to get the credit.  I would strongly encourage that you do the work without your calculator and only use it to check your final graph. 

FUNCTIONS:
1.  f(x) = x + sin x
2.  f(x) = x / sqrt(x-1)
3.  f(x) = x^2 + 2 / x
4.  f(x) = 3x / (x^2 - 4)

You may do as many of the above as you'd like.  They will be due on Friday, March 4.  Each graph has a maximum value of 5 points to be added to the Chapter 4 Test.  I'd be happy to talk these through with you so feel free to ask for help.

Curve Sketching Part 1

Curve Sketching Part 2