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Interesting Graphs!!!

Module by: Pradnya Bhawalkar, Kim Johnston. E-mail the authors

Summary: Graphing graphs that are rational functions, but are a bit different

Although it is always useful to calculate all the good stuff - domain, vertical asymptotes, horizontal asymptotes, slant asymptotes, holes, x- and y-intercepts, there are some graphs that are just different. This lesson is to show you some unique, yet useful graphs. Try graphing them first on the paper provided and then check your answers. The best way to find the pattern that these graphs follow is to plug in points.

Use graph paper.

Exercise 1

y=|x|x y x x

Solution

Figure 1
Figure 1 (Interesting1.png)

Exercise 2

y=|x−2|x−2 y x 2 x 2

Solution

Figure 2
Figure 2 (Interesting2.png)

Exercise 3

y=|x+3|x+3 y x 3 x 3

Solution

Figure 3
Figure 3 (Interesting3.png)

Exercise 4

y=|x+2|x y x 2 x

Solution

Figure 4
Figure 4 (Interesting4.png)

Exercise 5

y=xx2 y x x 2

Solution

Figure 5
Figure 5 (Interesting5.png)

Exercise 6

y=xx2+2 y x x 2 2

Solution

Figure 6
Figure 6 (Interesting6.png)

Exercise 7

y=-6⁢x4⁢x2+5 y -6 x 4 x 2 5

Solution

Figure 7
Figure 7 (Interesting7.png)

Exercise 8

y=2⁢xx2+5 y 2 x x 2 5

Solution

Figure 8
Figure 8 (Interesting8.png)

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