Do the following: 1) Sketch a rough graph of a rational function that has ONE vertical asymptote; contains a horizontal asymptote at y=0; has NO x intercepts; and has a y intercept at 1 2) Explain how your graph meets each of these criteria and label the separate parts on the graph. Also, tell what that criteria on the graph will mean for the equation. 3) Write a rough equation in factored form, illustrating the proper horizontal and vertical asymptote.

Q: The graph of a rational function can have three verticalasymptotes.Determine whether the statement…

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Q: Write down a formula of a rational function with all the following features. 1. The vertical…

A: Topic :- Function

Q: 5. Give an example of a rational function that does not have a horizontal asymptote.

A: The solution is given as

Q: The line y=  mx +b  is called a slant asymptote if  f(x)  -(mx + b)-> 0 as x -> ∞ or x-> -∞…

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Q: Graph all vertical and horizontal asymptotes of the rational function. 2x+5 S(x) = 2x-1

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Q: Identify the asymptotes of the rational function X-6

A: Since, the given function is- hx=-3x2+6x-5x-6 The vertical asymptote of the function is given by…

Q: Sketch a graph that has the following characteristics: 1) It must be rational function. 2) It must…

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Q: Where are the vertical asymptotes of a rational function located?

A: Given, Where are the vertical asymptotes of a rational function located

Q: 2. Determine the equation for the graph of the following rational function. (0.5, -0.16)

A: Rational function: Rational function is of the form p(x)q(x), where px and qx are polynomials. The…

Q: Sketch the graphs of the given rational functions, and include the following information: (i) real…

A: The given problem is solved in detail below.

Q: Do I have to factor to identify a rational function’s possible horizontal asymptote?

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Q: If the graph of a rational function R has the verticalasymptote x = 4, the factor x - 4 must be…

A: The rational function  is of the form Rx=PxQ(x) where, P(x) is the numerator function…

Q: To get a rational function that is never zero we would need to have a polynomial in the numerator…

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Q: The line y=  mx +b  is called a slant asymptote if  f(x)  -(mx + b)-> 0 as x -> ∞ or x-> -∞…

A: We use long division to find the slant asymptote Slant asymptote is y= -2x+1 Vertical asymptote is…

Q: It is possible to have a rational function whose graph has no y-intercept.Determine whether the…

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Q: Determine the domain and the equations of the asymptotes for the graph of the rational function.

A: as we can see from the graph, the vertical asymptote is x=2 so the domain is -∞ , 2∪2, ∞

Q: The line y=  mx +b  is called a slant asymptote if  f(x)  -(mx + b)-> 0 as x -> ∞ or x-> -∞…

A: y = (x3 + 4) / x2 = x3 / x2 + 4 / x2 = x + 4 / x2

Q: If you are given the equation of a rational function, how can you tell if the graph has a slant…

A: Explanation: Slant asymptote.

Q: The graph of the rational function shown above has vertical asymptotes at x =-2 and

A: Given, Vertical asymptotes: and Horizontal asymptote: From the given graph, we have x-intercepts…

Q: If the graph of a rational function R has the horizontalasymptote y = 2, the degree of the numerator…

A: Answer :   Equal           A rational function will have a horizontal asymptote when the degree…

Q: The graph of a rational function can never cross a vertical asymptote.Determine whether the…

A: It is known that the vertical asymptotes are obtained by solving the denominator. That is, the…

Q: Analyze the following graph of a rational function

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Q: Sketch a graph that has a vertical asymptote at x=2 and a horizontal asymptote of y=1, and identify…

A: Given that, the graph has a vertical asymptote at x=2. The vertical asymptote occurs where the…

Q: Determine the equation for the graph of the following rational function. 10 LED 201 SENCHESTMENTS…

A: To Determine: The equation of the graph of the following rational function:

Q: 2. A. Give the equation of each vertical asymptote, and give the corresponding factor that will…

A: vertical asymptote    factorx =-3x+3x=+3 x-3These factor shoul appear in the denominator of the…

Q: If the graph of a rational function R has the vertical asymptote x=4 , the factor x-4 must be…

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Q: Find a possible equation for the rational function given if Figure 63. (0, 3) = y = 1 3. -2 x = -1 x…

A: The rational function is the function of the type f(x)= p(x)/q(x) The rational function satisfies…

Q: Can the graph of a rational function have both a horizontal and an oblique asymptote? Explain.

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Q: 2 x-5x+1 f(x) =- x-3

A: The given function f(x)=x2-5x+1x-3

Q: Give the equations of any asymptotes of the type specified for the graph of the rational function.…

A: Answer

Q: 3- A. Give the equation of each vertical asymptote, and give the corresponding factor that will…

A: vertical asymptotefactor-2x+2-5x+5 The factor will appear in the denominator of the rational…

Q: Graph all asymptotes of the rational function. -x-2x+4 S(x) = x+3 7- -4- -6- -7- R 四 ---

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Q: 10) Is it possible for a rational function to have an oblique asymptote with no vertical asymptotes?…

A: Is it possible for a rational function to have an oblique asymptotewith no vertical asymptotes?If…

Q: Graph all vertical and horizontal asymptotes of the rational function. - 5 f(x)= 3x+ 9 -3+ ----

A: Find the vertical and horizontal asymptotes of the function  f(x)= -5/(3x+9)

Q: A horizontal line that the graph of a rational function approaches at the far left or the far right…

A: Answer :                  horizontal asymptote                                            A…

Q: Graph all asymptotes of the rational function. 4x+ 2x-7 f (x) = 2x+ 3

A: f(x)=4x2+2x-72x+3vertical assymptotes:Denominator =02x+3=0⇒2x=-3x=-32Horizontal assymptotesNot…

Q: Give an example of a rational function that doesn't have a vertical asymptote.

A: It is required to give an example of rational function that doesn't have a vertical asymptote.

Q: Graph all vertical and horizontal asymptotes of the rational function. -2 f (x) = 3x+9 3- 2- -2- -3-…

A: Topic:- function

Q: Sketch the graphs of the given rational functions, and include the following information: (i) real…

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Q: (d) Plot additional solution points as needed to sketch the graph of the rational function.

A: Given function is as below :

Q: Graph all vertical and horizontal asymptotes of the rational function. f(x) = x+4 %3D ---- +2+ 3- 5-…

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Q: Use the graph to find the vertical asymptote of the rational function. 10- 2 4 8 10 -5 -tho

A: Vertical asymptotes: The vertical asymptote in a rational function is a vertical line x='k' where…

Q: 1. A. Give the equation of each vertical asymptote, and give the corresponding factor that will…

A: Vertical Asymptotefactor-1x+1+1x-1 These factors ahould appear in the denominator of the rational…

Q: The graph of a rational function cannot have both a vertical asymptote and a horizontal…

A: Let  a rational function be: fx=axn+⋯bxm+⋯ Graph will have vertical asymptote where its denominator…

Q: Create and graph your own example of a RATIONAL FUNCTION that is considered to be under, the degree…

A: Here we have to Create and graph a RATIONAL FUNCTION the degree of the numerator and denominator are…

Q: Write the equations of the horizontal and vertical asymptotes, and find any holes in the graph, of…

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Q: Graph all asymptotes of the rational function. -4x - 8x+5 S(x) = 2x+1 6- -2+ -3+ -4- -5- -6- -7+ -8-…

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Q: Sketch the graphs of the given rational functions, and include the following information: (i) real…

A: Given

Q: Graph all vertical and horizontal asymptotes of the rational function. 11 S4)= -2x+4x-2 田

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