3. Write an equation for a rational function with the properties as given. a) a hole at x = 1 b) a vertical asymptote anywhere and a horizontal asymptote along the x-axis c) a hole at x = -2 and a vertical asymptote at x = 1

Q: Use the graph to complete the following. 4.

A: Topic = Functions

Q: Find the horizontal asymptotes for the function VI + 4r6 2-a3 (z) =

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Q: Consider the rational function f(x) a. Determine the vertical intercept of f. f(0) = b. Determine…

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Q: Use the graph to complete the following.

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Q: The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are…

A: a) The graph has vertical asymptote: x=3  Horizontal asymptote: y=0

Q: The equation of the horizontal asymptote is -12-10 4-6 .

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Q: Q1) Graph the following rational function, labeling clearly all intercepts and asymptotes. R(x) = x…

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

Q: 3x f(x)= x-4 Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill…

A: We can write f(x) = 3x/(x-2)(x+2) For vertical asymptote (x-2)(x+2)=0 For horizontal asymptote 3x=0

Q: f(x) 2. Sketch the graph of asymptotes, and range. = 2x-1 x²-4 and give its domain, intercepts,

A: Given that fx=2x-1x2-4. To find the Domain, range, x-intercept, y-intercept, and graph of the given…

Q: Graph all vertical and horizontal asymptotes of the rational functio 9x+2 f(x) = 2. x-1 Plot a 3D…

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Q: Determine whether the given statement makes sense or does not make sense, and explain your reasoning…

A: Asymptote: There is given a rational function and now we need to choose if it has vertical or…