EXAMPLE 4 Finding Vertical Asymptotes Find the vertical asymptotes, if any, of the graph of each rational function. x + 3 (a) F(x) = (b) R(x) X - 1 4 x² - 9 (c) Н(х) (d) G(x) : x? + 1 x? + 4x – 21

Q: x* - Y2 3.x² + 4

A: Use application of derivative to draw the graph as below

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A: 89.

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A: At a vertical asymptote graph approaching the asymptote but never touch.

Q: vertical asymptotes,

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A: Consider the rational function rx=x-12x-2x-1. Note that r0=00 which is undefined.

Q: Find the vertical and horizontal asymptotes of the graph of the function. f(x)=7-6x / 7+5x

A: Solution

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Q: (5x–2)(x-1)² (x+2)(x+4) Tæ(x+2)(x-3)(x–5)² Graph the rational function r. (x)

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Q: #28. The first picture is the question.

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Q: The graph of the rational function crosses the horizontal asymptote once. Sketch the graph. x² - 6x…

A: f(x)=x2-6x+5x2-5x+6

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Q: lal notation.) 2- Determine the horizontal asymptote of X-1 f(x) = 6*'. Select the correct choice…

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Q: х-2 3. h(x) = х2—9

A: Rational functions and it's graph

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Q: EXAMPLE 6 Graphing a Rational Function x² – 4 2x2 + 2x Graph the rational function r(x) and state…

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A: rx=x3+8x2-x-2 The graph is,

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A: As per guidelines, we are supposed to solve only first three questions. Please repost other…

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A: We can find using limits, graph or simple properties to find the vertical and horizontal asymptotes…

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Q: 8. Graph the rational function. horizontal asymptotes. 3x-12 a. r(x)= x+1 Show clearly all x- and…

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Q: 5. After a drug is injected into a patient's bloodstream, the concentration c of the drug in the…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

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A: Given rational function is rx=3x-12x+1. For x-intercept put y=0. 0=3x-12x+13x-12=03x=12x=4…

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Q: oblique asymptote of the rational functi (z-z-20) (z²+5z+6)

A: The given function is f(x)=(x2-x-20)(x2+5x+6)(x+4)(2x2-9x-5)

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