1. Given the following rational function, find the following: 2x f (x) = (3 – x) a. Find the domain b. Identify any vertical asymptotes c. Identify any holes in the graph d. Find the horizontal asymptote, if it exists Find the slant (oblique) asymptote, if it exists

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A: The given problem is solved in detail below.

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A: Given that: Graph of f(x)

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A: We get the vertical asymptotes when the denominator of the function is zero.

Q: 22. Sketch the graph of each of the following rational functions. Ex following. i. the equations of…

A: We have to use properties of rational function to solve the problem

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Q: 8. Graph the following rational function. Show ALL steps CLEARLY. (C_ R 2x – 4 f(x) = x + 3

A: Here we have to graph the given function.  We have,

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A: we have to check

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A: Use the given graph and identify the value.

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A: According to question,Given Conditions,Oblique asymptote : gx = -x+4,Hole at x = 2,Vertical…

Q: 3–6 ■ The following questions are about the rational function

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Q: The following question is about the rational function (x + 1)(x - 3) (x + 3)(x - 7) r(x) = The…

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Q: 7. Find the slant asymptote of the following rational function. (S_ 2x2 – 5x + 7 f(x) = x - 2

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A: Explained below

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