Example 1.2.3. Graph 1:2 + y3 = 1. Solution. In eeientlj.f generate points on the graph of this equation, are rst solve for y 2+y3 m 1 1'3 2 13:: are = m p = $1-35 We now substitute a value in for at, determine the oorrupondiug value p, and plot the resulting point {:t, 3;]. For example, substituting a: = 3 into the equation yields ya: 19": 119: ygfl{3 23%- 352, so the point [3,2] is on the graph. Gontinuiug in this manner, we generate a table of points which are on the graph of the equation. Thus points are then plotted in the plane as shown helow. s Remember, these points eonstitute only a small sampling oIthe points on the graph of this equation. In get a better ideaot'the shape oIthe graph, we eoruld plot more points until we feel oomfortahle