Find the equation of the rational function that passes through (4,1), has the x-axis as a horizontal asymptote, and the line x = 3 as its only vertical asymptote. Sketch the graph of the function. Find the equation. Write your answer in lowest terms. D y =

Q: Write an equation for a rational function with: Vertical asymptotes at æ = 6 and æ = 1 æ intercepts…

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Q: Determine the equation for the graph of the following rational function. 77 M 75 ri MERSEDES

A: To Determine: The equation of the graph of the function which is given in the question.

Q: Write the equation for a rational function r(x) that has a vertical asymptote at x=-7, a horizontal…

A: To Determine: Write the equation for a rational function r(x) that has a vertical asymptote at x=-7,…

Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: Solution:Givens(x)=2x-4x2+x-2

Q: Find equations for the horizontal asymptotes, if any, for the following rational function. f (x) =…

A: To find the equations for the horizontal asymptotes, if any, for the following function fx=5x-9

Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: Given function is r(x)=x2-2x+1x2+2x+1 For x-intercept, we plug y=0…

Q: Graph the rational function f(x) = 1/x, and state the domain and range.

A: A graph of a function in a cartesian coordinate system, is a set of ordered pairs of points (x,y)…

Q: For each rational function, find (a) y-intercept point, (b) the roots, and (c) the equation of the…

A: GIVEN DATA : Rational Function fx=x+5x+1      TO FIND : (a). y-intercept                        (b).…

Q: Identify the rational function with smallest degree in the numerator and denominator whose graph…

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

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Q: Use the following information to answer the next question A rational function, f(x), has a vertical…

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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: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.)…

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Q: If the rational function graphed below appears to approach a vertical or horizontal line, then…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 31 Find the x-intercept of the given rational function.

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Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: Asymptotes of 4x2x2-2x-3 Vertical: x=-1, x=3, Horizontal: y=4   Axis interception points of…

Q: f(x) %3D х+2 X X – 1

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: Write the equation of a rational function that has a hole at x=−5 and a vertical asymptote at x = 1.

A: We have given a rational function with Hole at x = -5 Vertical asymptote at x = 1 As if function…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = -3 x…

A: Given

Q: Write an equation for a rational function with: Vertical asymptotes at a = - 3 and x = 1 x…

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Q: Find a possible equation for the rational function given

A: as we can see from the graph, here vertical asymptotes are x=-1 and x=2  so the denominator is given…

Q: Write the function in general form for the rational function that has no zeros, a hole at x= -3, a…

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Q: Write an equation for a rational function with: Vertical asymptotes of x = -1 and x = -2…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = - 4 and a = - 5 a…

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Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: To find the x-intercepts, substitute t(x) with 0 in t(x)=x3-x2x3-3x-2 and factor x3-x2=0 to get…

Q: Find the domain of the rational function f(x) = [1/(x - 1)] + 2 and graph the function.

A: Domain: Domain of a function is the set of input values for which the function is real and defined.

Q: Determine an equation for a rational function with a horizontal asymptote at y = 2,  vertical…

A: We have to determine an equation for a rational function with a horizontal asymptote at y= 2,…

Q: Find the equation of a rational function that has a vertical asymptote at x = 2 and a horizontal…

A: It is given that, the vertical asymptote of the function is x=2 and the horizontal asymptote of the…

Q: Write an equation for a rational function with: Vertical asymptotes of x = 2 and x = -4 x intercepts…

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Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: Given function is s(x)=x+2(x+3)(x-1)=x+2x2+2x-3 Plugging x=0, we find y-intercept y=0+20+0-3  =-23…

Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) ex)…

A: see below the answer

Q: Write an equation for a rational function with: Vertical asymptotes at a 6 and a = 6 %3D a…

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Q: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…

A: sx=3x+1

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

A: Given function is as below :

Q: What is the equation of the vertical asymptote for the graph of the rational function g(a) %3D옮? x-1…

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Q: Find the domain of the rational function f(x) = 1/(x + 3)2 and graph the function.

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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: Find the equation and sketch the graph of the function. A rational function tha: passes through 0..…

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Q: Given the rational function that model the given situations, P(x) = 72,900/ (100x2 + 729) ; the…

A: The given rational function, which model (describe) the given situations is: P(x)=72,900(100x2 +729)…

Q: (a) Write an equation for a rational function f whose graph is same as the graph of y=1/x shifted to…

A: Part (a) Express the general equation for the horizontal and vertical shifts of the graph of the…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x -2 x intercepts…

A: As per given by the question, There are given vertical asymptotes at x=-5, and x=-2, x intercepts at…

Q: f(x) %3D х—4 x +2 X X

A: fx=x-4x+2

Q: Write the equation for a rational function r(x) that has a vertical asymptote at x = -7, a…

A: Consider the provided information, Given Vertical x=-7 and horizontal y=1 And a y intercept at 0,2.…

Q: х+2 2х - 3 f(x) = X

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: Use the graph of the rational function below to answer the questions. 10 la As-l-, f(x) → 1b ASX-r,…

A: It is observed that from the figure, f(x) has the vertical asymptote at x = 1 and horizontal…

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

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Q: Write a possible formula for a rational function, f(x), with zeros at x=-6, x=2, vertical asymptotes…

A: To Determine: write a possible formula for a rational function f(x) with zeros at x=-6 ,x=2…

Q: Find an equation, f(x), for a rational function that satisfies the following:   Vertical asymptote…

A: Given: The rational function fx satisfying, Vertical asymptotes at x=-3 and x=-2, x-intercepts at…