Asked on 16 Nov

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.

Answered on 16 Nov

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