For the rational function f(x) = find the following limits and identify the type of asymptote that each limit indicates. (If the function increases/decreases without bound, enter +o/-o; if it * +9 does not exist for another reason, enter DNE.) 4x - 1 (a) lim X--9+ X + 9 This limit shows that the line is a ---Select--v asymptote on the graph of f. (b) 4x - 1 lim X-o x + 9 This limit shows that the line is a ---Select-v asymptote on the graph of f.

Q: 5. Give an example of a rational function that does not have a horizontal asymptote.

A: The solution is given as

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A: Suppose L is limit value of given Limt

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A: The objective is to draw the graph and find vertical and horizontal assymptote.

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A: We have to use the concept of limits

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A: The given function is .The aim is to find the asymptotes of the function.

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A:

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A: We will find intercept and asymptote and will use them to plot graph

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A: Introduction: An asymptote is a line that a function's graph approaches as x or y approaches…

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A:

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A: We have to solve

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A: Recall:  To find vertical asymptote, set the denominator equal to zero and solve for x. Given,…

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A: See the attachment

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A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…