Hw -just need help with the ones circled

9224 .III '5' E} | l Relation 1 Relation J 1 - 36, graph the given line. 44 of 1094 y=3 35.2:0 36.y=0 Some relations are fairly easy to describe in words or with the roster method but are rather difcult, if not impossible, to graph. Discuss with your classmates how you might graph the relations given in Exercises 37 - 40. Please note that in the notation below we are using the ellipsis, . . . , to denote that the list does not end, but rather, continues to follow the established pattern indenitely. For the relations in Exercises 37 and 38, give two examples of points which belong to the relation and two points which do not belong to the relation. 37. ((1,3)) I 1 is an odd integer, and y is an even integer.) 38. ((2, l) |z is an irrational number } 39. ((1,0),(2,1),(4, 2), (8, 3), (16,4), (32, 5), . . ) 40. (. . ., (3, 9), (2, 4), (1, l), (0, 0), (l, l), (2, 4), (3,9), . . .) For each equation given in Exercises 41 - 52: 9 Find the 1- and y-intercept(s) of the graph, if any exist. 0 Follow the procedure in Example 1.2.3 to create a table of sample points on the graph of the equation. I Plot the sample points and create a rough sketch of the graph of the equation. o 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 be on the graph as was done at the end of Example 1.2.4 32 RELATIONS AND FUNCTIONS @y=12+1 42.y=zz2z8 (43.iy=13:t 44,y=32 45.y='/12 46.y=2'/z+42 47.31y=7 48. 3121;:10 49.(z+2)7+y2=16 (marl112:1 51. 43/2 922 = 36 52, may = 4 The procedures which we have outlined in the Examples of this section and used in Exercises 41 ~ 52 all rely on the fact that the equations were \"well-behaved", Not everything in Mathematics is quite so tame, as the following equations will show you, Discuss with your classmates how you might approach graphing the equations given in Exercises 53 - 56. What difculties arise when trying to apply the various tests and procedures given in this section? For more information, including pictures of the curves, each curve name is a link to its page at www.wikipedia.org. For a much longer list of fascinating curves, click m. 53. 9:3 + y3 311; = 0 Folium of Descartes 54. z' = 12 + y? Kampyle of Endoxus 55. 312 = 13 + 31:2 Tschirnhausen cubic 56, (1:2 + 1,12)2 = 23 + yrs Crooked egg 57. With the help of your classmates, nd examples of equations whose graphs possess a symmetry about the x-axis only 0 symmetry about the y-axis only I symmetry about the origin only I symmetry about the z-axis, yaxis, and origin Can you nd an example of an equation whose graph possesses exactly two of the symmetries listed above? Why or why not? stitzzeager.com In Exercises 21 - 30, describe the given relation using either the roster or set-builder method. 21. 22. y 34' 4 I 3 2 o 1 4321 l 2 341 1 _3 _2 _1_1 1 I Relation B Relation A 30 RELATIONS AND FUNCTIONS 23. 24. y 5 y 4 3 3 2 2 1 1 -2 3 -3 4 Relation C Relation D Relation E Relation F