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46. 1 = 2vr+4-2For each equation given in Exercises 41 - 52: I Find the I and y-intercept(s} of the graph. if any exist. I Followr the procedure in Example 1.2.3 to create a table of sample points on the graph of the equation. - Plot the sample points and create a rough sketch of the graph of the equation. a Test for symmetry. If the equation appears to fail any of the symmetry tests, nd a point on the graph of the equation whose reection fails to he on the graph as was done at the end of Example 1.2.4 Example 1.2.3. Graph 9:2 + y3 = 1. Solution. To efciently generate points on the graph of this equation, we rst solve for y zitIy3 : 1 y : 1372 3y3 : asl_$2 . _ 3 '2 y _ 13: 'We now substitute a 1value in for 1:. determine the corresponding value 3;, and plot the resulting point (I, 3;}. For example. substituting :r: = 3 into the equation yields .2 m=m=m=_2, so the point (3,2} is on the graph. Continuing in this manner, we generate a table of points which are on the graph of the equation. These points are then plotted in the plane as shown below. SI' 3 2 1 I : I l o I I )- 4 3 2 l. l 2' 3 4 I 1 o o o 2 o