Find a function y = f(x) which has only one horizontal asymptote and exactly 2021 vertical asymptotes. You have to clearly write the formula for f(x) and explain carefully why your function satisfies the given condition. A sketch of the graph is recommended but further explanation is required.

Q: Assume that constants a and b are positive. Find equations for all horizontal and vertical…

A: Consider the function: y=ax2+4x-b. such that a,b>0. Find the equation for all horizontal and…

Q: 1. 279. f (x) =

A: Given f(x)=1x3+x2

Q: Sketch the graph of a function f with a single horizontal asymptote y = 3.

A: The horizontal asymptote of the function is y=3. Since the horizontal asymptote is y=3, therefore…

Q: Find the smallest positive value of c for which x=c is a vertical asymptote for the graph of the…

A: Given that, the function is fx=3tan2.58x. Note that, the vertical asymptote of tan x is x=π2+nπ.…

Q: 12. Given f (x) : p(x) where q(x) # 0. How do you determine if the function has the following? q(z)…

A: Vertical asymptotes are the lines corresponding to poles of a rational transfer function.

Q: Draw a graph of the function and use it to determine the asymptotes and the local maximum and…

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Q: 1. Given the function 16) - Find (b) all vertical and horizontal asymptotes,

A: Vertical asymptote  where function not defined and vertical line in graph  Horizontal asymptote  we…

Q: For each function, determine the long run behavior. x +1 has No horizontal asymptote x3 + 2 x2 + 1…

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Q: What is the end-behavior asymptote for the function f(x) = ? I+1

A: End behavior of the graph of a function fx is how the graph behaves when x approaches to infinity or…

Q: 4. If the graph of the function f(x) has a horizontal asymptote y=2 and vertical asymptote x--4…

A: Hence option (c) is correct.

Q: 8) If the graph of function f(x)=(1- ax)3/X?crosses its oblique asymptote at x=1/3 determine the…

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: Find the horizontal asymptotes.

A: ft=et1+e-t Now as t→∞, ft→∞. & limt →-∞ft=limt →-∞et1+e-t=limt →-∞et0-e-t        By using…

Q: (a) Write down a function that has vertical asymptotes at the points x = 1, x = 2, and r = 3, and a…

A: We have to write down a function that has vertical asymptotes at the points x=1,x=2, and x=3 and a…

Q: (b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2. r(x)…

A: We have to find asymptote

Q: ind the equation of the horizontal asymptote for y = 12(1 + 2^−x)

A: Giveny= 12(1+2-x)

Q: Starting from the graph of y = ex, explain, in steps, how you wouldobtain the graph of f(x) = 2 −…

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Q: 1) Sketch the graph of the function y = tan ( 3x –). Clearly show the asymptotes and how you got…

A:

Q: 5) Find Vertical and Horizontal asymptote Show work 2x x² +1

A: We can find the asymptotes as below.

Q: Find a formula for a function that has vertical asymptotes x = 6 and x = 8 and horizontal asymptote…

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a…

Q: Find the equation of all its vertical asymptotes given the cosecant function y = csc 2 csc-) 3.

A: The given function is y=cscx2-π3. Obtain the vertical asymptotes by solving sinx2-π3=0 as follows.

Q: Consider the graph of the function h(x)=2x-1 over x+2 what is the equation of the horizontal…

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Q: - 5x + 3 - The function f(x) has a vertical asymptote at: - 1x + 1 X = Write your answer as decimal…

A: For rational functions, vertical asymptotes are the undefined points, also known as the zeros of the…

Q: b) Are there any values of a and k for which the function above will have horizontal asymptote?…

A: Given,                         f(x) = ax3xk+10Where a is non-zero real numbers and k is a positive…

Q: Draw the curve if y' is negative and y'' is positive on the interval of (2,3), while y' is positive…

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Q: Find a function which has a horizontal asymptote y = 1, and a vertical asymptote x = 1.

A: Explanation of the answer is as follows

Q: Create a function f(x) in standard form with an oblique asymptote at g(x) = - x +4, hole at x = 2, a…

A: Use the following definitions, to obtain the required result. The vertical asymptote occurs when…

Q: Determine the below equations of the eventual to find Horizontal asymptotes (HA) or Vertical…

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Q: Find all horizontal and vertical asymptotes of the curve of 3ex+2e=x f(x) = 2ex-5e-x Show all your…

A: A line y=L is said to be the horizontal asymptote of the curve y=f(x) if  limx→−∞f(x)=L or…

Q: Find the smallest positive value of c for which x=c is a vertical asymptote for the graph of the…

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Q: Find the smallest positive value of c for which x=c is a vertical asymptote for the graph of the…

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Q: Consider the given graph. 2 a) At which points the function is not differentiable. Explain why for…

A: a) From the given Figure it is clearly observed that, the function discontinuous at x=-2, x=-1 and…

Q: Find the asymptotes (vertical and horizontal) of the function f(x) where g(x) is the function whose…

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Q: Find a function y = f(x) which has only one horizontal asymptote and exactly 2021 vertical…

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Q: From the following function obtain the vertical asymptotes, critical points, maximum and minimum,…

A: We have to find the vertical asymptotes, critical points, maximum and minimum and give a sketch of…

Q: 1. f(x) = tan(2x) - 5

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Q: Find a function y = f(x) which has only one horizontal asymptote and exactly 2021 vertical…

A: Solved below

Q: 12. Given f (x)= where q(x) 0. How do you determine if the function has the following? a. A…

A: We have to define asymptote.. As per guideline we have to solve one question

Q: For the function f(x) = x^4 / 1+x^3 answer the following questions, (a)Find vertical and…

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Q: The graph of f has a point of inflection at x=5 but this is also a vertical asymptote. Can the graph…

A: For x = 5 to be the point of inflection the concavity must change. This can be done only in these…

Q: 28. The vertical asymptote is at x =

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Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. Am 0.5 0.5

A: This question is based on graphing a function using horizontal asymptote.

Q: Find the vertical asymptotes (if any) of the graph of the function.                             f(x)…

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Q: The graph of f(x) = sec x has vertical asymptotes %3D Select one: a. True b. False

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a…

Q: equation for the horizontal asymptote of the graph of the function. (If an answer does not exist,…

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Q: Write a function f(x) so that the graph has a vertical asymptote at x=-3 and horizontal asymptote at…

A: let the function is fx=pxqx

Q: Graph the function: f(x) = x+1 for x<2. Show a T-chart with all of your work. Determine a solution…

A: Given function is f(x)=x+1 and we have to plot graph of f(x) for x&lt;2We have to show a T‐chart for…

Q: Use a graph to estimate all the vertical and horizontal asymptotes of the curve. (Round your answers…

A: Asymptote is the point  which a graph approaches to ,but never touches

Q: If the graph of the function f(x) has a horizontal asymptote y=2 and vertical asymptote x=-4.6 where…

A: For horizontal asymptote, y=limx→∞ax+3x+cy=limx→∞a+3x1+cxy=a1y=a Given the horizontal asymptote is y…

Q: 10. For the function f(x) = -2· ex + 6, find the domain, range, and equation of the asymptote.

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Q: Use the graph of the derivative g'(x) shown below and the terminology: increasing, decreasing, local…

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