Stitz-Zeager_College_Algebra_e-book

# 7 according to this webpage the frequency f of a

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Unformatted text preview: 12] × [0, 0.25]. What do you see? 260 Rational Functions 4. Graph the following rational functions by applying transformations to the graph of y = 1 x−2 3 (b) g (x) = 1 − x (a) f (x) = 1 . x −2x + 1 (Hint: Divide) x 3x − 7 (d) j (x) = (Hint: Long division) x−2 (c) h(x) = ax + b . What restrictions must cx + d 1 be placed on a, b, c and d so that the graph is indeed a transformation of y = ? x Discuss with your classmates how you would graph f (x) = 3 5. In Example 3.1.1 in Section 3.1 we showed that p(x) = 4x+x is not a polynomial even though x its formula reduced to 4 + x2 for x = 0. However, it is a rational function similar to those studied in the section. With the help of your classmates, graph p(x). x4 − 8x3 + 24x2 − 72x + 135 . With the help of your classmates, ﬁnd the x- and x3 − 9x2 + 15x − 7 y - intercepts of the graph of g . Find the intervals on which the function is increasing, the intervals on which it is decreasing and the local extrema. Find all of the asymptotes...
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