The Bezier Blending Functions are also known as the Bernstein polynomials. On a sheet of graph paper, plot each function and label the maximum and minimum values. You can put each on a separate graph or all 4 on the same graph.

Determine the 11 points on the curve (a spreadsheet is great for this!) using

• the Bezier Blending Functions as determined in exercise 1 (or derived in class)
• the following control points:
  • P0 = (0,2)
  • P1 = (4,5)
  • P2 = (10,-1)
  • P3 = (14, 4)
• for the following values for t:
  0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0

Plot the points on graph paper or have them plotted for you on the spreadsheet (scatterplot).

Determine the 11 points on the curve (a spreadsheet is great for this!) using

• the Bezier Blending Functions as determined in exercise 3
• the following control points:
  • P0 = (0,2)
  • P1 = (4,5)
  • P2 = (6, 2)
  • P3 = (10,-1)
  • P4 = (14, 4)
• for the following values for t:
  0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0

Plot the points on graph paper or have them plotted for you on the spreadsheet (scatterplot).

Use the bezdemo program to create

• a circle
• an ellipse
• a script letter (perhaps the first letter of your name)
• anything of your choosing

Use snapshot (or similar program) to capture the contents of the windows and then get printout.