Interesting Graphs!!!
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.
Problem 1
y = | x | x y
x x
Solution 1
 Figure 1 |
Problem 2
y = | x - 2 | x - 2 y
x
2
x
2
Solution 2
 Figure 2 |
Problem 3
y = | x + 3 | x + 3 y
x
3
x
3
Solution 3
 Figure 3 |
Problem 4
y = | x + 2 | x y
x
2
x
Solution 4
 Figure 4 |
Problem 5
y = x x 2 y
x
x
2
Solution 5
 Figure 5 |
Problem 6
y = x x 2 + 2 y
x
x
2
2
Solution 6
 Figure 6 |
Problem 7
y = -6 x 4 x 2 + 5 y
-6
x
4
x
2
5
Solution 7
 Figure 7 |
Problem 8
y = 2 x x 2 + 5 y
2
x
x
2
5
Solution 8
 Figure 8 |
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This work is licensed by Pradnya Bhawalkar and Kim Johnston. See the Creative Commons License about permission to reuse this material.
Last edited by Pradnya Bhawalkar on Apr 27, 2006 12:15 am GMT-5.