In Problems 25-30, use the graph shown to find (a) The domain and range of each function (b) The intercepts, if any (d) Vertical asymptotes, if any (c) Horizontal asymptote, if one exists (e) Oblique asymptote, if one exists 25. 26. 27. 4 (0, 2) (-1, 0) V (1, 0) 3 x 3 x -3 28. 29. 30. (-1, 2) 3 3 (-1, 1) -3 3 X 3 X -3 (1, -3 In Problems 31-42 oranh each rational function using tronsformations

Q: True or False: A vertical asymptote and a hole in the graph create places of discontinuity that…

A: If there is a vertical asymptote or a hole in the graph of function then there must be discountunity…

Q: 3. The equation of the vertical asymptote for the function >= = 3log(x+4) is a. x = -4 b. x = 3 c. x…

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Q: 1. (a) Is the following graph the graph of a function? If it is, is the function one-to-one? 4 X (b)…

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Q: 5. Graph the following function. Make sure to label the x intercept, any asymptotes, and at lenst…

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Q: 4. a) Carefully graph the following piecewise-defined function. b) State the domain and the range…

A: The given function function,g(x)=4-x2if x<22x+3if x≥2

Q: 1. Given f(x) = 2* and g(x) = 3*, a. complete the table of values -4 -3 -2 -1 1 2 4 f(x) = 2* g(x) =…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Introduction:  Vertical Asymptotes: The line x=L is a vertical asymptote of the function y=2x-1+2 if…

Q: 1. Consider the following function: f(x) x5 2x4 On your Maple file, find and/or identify each of the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Šketch the graph of each of the following functions. Be sure to show all key features such as…

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Q: Find the slant asymptote of f Find the vertical asymptotes of f (if any) Graph f and all of its…

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Q: The graph of y= is shown below +2 *+5 -9-8-7-6-542-10 1 2 3 4 5 6 7 8 9 -2 X What is a possible…

A: To determine the factor which leads the the asymptote.

Q: 3. Let f(r) = 5 (2"-1) + 2 (a) State the domain and range for this function. (b) State the equation…

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Q: 2. Sketch the graph and all asymptotes of the function x² - 2x + 3 x-1 Y =

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Q: How can we analyze the graphs of functions having horizontal or vertical asymptotes?

A: Check for when we have vertical and horizontal asymptote

Q: 1 Determine the vertical asymptotes of the graph y = x²+x=6· x=3, x=-2 x=-3, x=2 there are none…

A: Given

Q: Find the equation for all vertical asymptotes for the following function.  y=-19sec (x)

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Q: Graph #2 OHER f(x) = - +2 4 104 1. Graph the horizontal asymptote. 2. Graph the vertical asymptote.…

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Q: 3. What is the Vertical Asymptote of the FUNction 1 8. (x + 6) y = -8 X = 6 O y = -6 X = -6

A: We have to find asymptote

Q: 4. Find the perimeter of a rectangle whose area is 84 m². The length is 5 m more than its width.

A: Let the length is L and width is b. Given: L=b+5 Area of a rectangle=84m2 As we know that the area…