a. Find all zeros and vertical asymptotes of the rational function $$ f(x)=\frac{x+5}{(x+11)^{2}} $$. If there is more than one answer, enter all such values for each in a comma separated list. If are no solutions, enter NONE. Do not leave a blank empty. (a) The function has zero(s) at $$ x= $$ (numbers) (b) The function has vertical asymptote(s) at $$ x= $$ (c) The function's long-run behavior is that $$ y \rightarrow $$ (d) On a piece of paper, sketch a graph of this function without using your calculator. b. How did you determine the vertical asymptote? O. By comparing the degree of the numerator and denominator. O. By dividing the polynimial and using the remainder

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Riley Hodges · Accepted Answer

(a) The function has zero(s) at x = -5 (b) The function has vertical asymptote(s) at x = -11 (c) The function's long-run behavior is that y → 0 (d) The graph crosses the x-axis at x = -5, has a vertical asymptote at x = -11, and approaches y = 0 as x → ±∞ (e) The vertical asymptote was determined by comparing the degree of the numerator and denominator.

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