Concept explainers
Consider the following rational functions:
(a) Which of these rational functions has a horizontal asymptote?
(b) Which of these functions has a slant asymptote?
(c) Which Of these functions has no vertical asymptote?
(d) Which Of these functions has a "hole"?
(e) What are the asymptotes of the function r(x) ?
(f) Graph y =u(x) , showing clearly any asymptote and x- and y intercepts the function
may have.
(g) Use long division to find a polynomial P that has the same end behavior as t. graph both
P and t on the same screen to verify that they have the sane end behavior.
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