Hint for Problem 1. The graphs below are of x² and nx for n equal to ^–1, ^-0.5, 0.5, and 1. Use these graphs to plot the sum of x² and nx. Then do the same for y = x³ + nx.

Remember! Variables vary; slow down!

(After doing this activity by hand, click here to see a live version of what you were supposed to end up envisioning. If you cannot unerstand this GC sketch by watching it, then do this hint again.)

n = ^-1

n = ^-0.5

n = 0.5

n = 1.0