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6 Oct 2020
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 the function y = u(x), showing clearly all the asymptotes, x-intercepts, and y-intercepts that 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 to verify that they have the same end behavior.
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 the function y = u(x), showing clearly all the asymptotes, x-intercepts, and y-intercepts that 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 to verify that they have the same end behavior.
Mary RamoyLv10
16 Nov 2020