e'll need to know how to graph by hand some
  basic functions. If you have not spent much time graphing
  functions by hand before this class, then you should spend some
  time graphing the following functions by hand. When we start
  drawing functions in 3D, we'll have to piece together infinitely
  many 2D graphs. Knowing the basic shape of graphs will help us do
  this.</p>

  <div class="problem">
    Provide a rough sketch of the following functions, showing
    their basic shapes: $$\displaystyle x^2,