Unformatted text preview: e) f (x) =
(f) f (x) =
(g) f (x) = 4
x+2
5x
6 − 2x
1
x2
1
2 + x − 12
x
2x − 1
−2x2 − 5x + 3
x
2 + x − 12
x
4x
x2 + 4 (h) f (x) = 4x
x2 − 4 (i) f (x) = x2 − x − 12
x2 + x − 6 (j) f (x) = 3x2 − 5x − 2
x2 − 9 (k) f (x) = x3 + 2 x2 + x
x2 − x − 2 (l) f (x) = −x3 + 4x
x2 − 9 (m) 16 f (x) = x2 − 2x + 1
x3 + x2 − 2x 3. Example 4.2.4 showed us that the sixstep procedure cannot tell us everything of importance
about the graph of a rational function. Without Calculus, we need to use our graphing
calculators to reveal the hidden mysteries of rational function behavior. Working with your
classmates, use a graphing calculator to examine the graphs of the following rational functions.
Compare and contrast their features. Which features can the sixstep process reveal and which
features cannot be detected by it?
(a) f (x) =
(b) f (x) = 16 x2 1
+1 x2 x
+1 x2
x2 + 1
x3
(d) f (x) = 2
x +1
(c) f (x) = Once you’ve done the sixstep procedure, use your calculator to graph this function on the viewing window
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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

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