4. Given the rational function: R(x) = .Simplify R(x). x' - 4x a) State the equations of all asymptotes and the coordinates of all intercepts. b) State the coordinates of all holes (if any). c) State the coordinates of points of intersection of the function with an asymptote(s) (if any). d) Draw a graph of this rational function, labelling the important features of the graph. Show sign o

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A: The domain of a function are all values of x for which the function is defined. Intercepts are the…

Q: 5 Given that 1+5i is a zero of f(x)=x³-3x +28x-26 find the remaining zeros and factor f(x) as a…

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: c. Identify any vertical asymptotes.

A: 6. c) Given that, the function is fx=x3-3x2+28x-26.

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Q: Determine the equation for a rational function that has the following properties: o Vertical…

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Q: 2. For the rational function f(x)= 2x2-2x-12 %3D x+3x-18 A. Find the domain of the function using…

A: The given rational function is,

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

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A: soution is given below

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A:

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

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A: Step 1:The graph of function as follows:  Step 2:b) At t=0, The function is = 98.6.At t=1,=…

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A: The given function is f(x)=2x-3-x+2 The vertical asymptote is the point where the function is not…

Q: SKETCH the graph of the given rational function. All intercepts, asymptotes, crossover pt, hol…

A: Given: r(x)=(x-3)2x2-5x To find  (1) Domain of the graph (2) simplify r (3)name the intercept

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Q: f(x)=(3x3-x2-27x+9)/(x2+4x+3)

A: Answer and explanation is given below...

Q: Write an equation that defines a rational function with a vertical asymptote at x=3 and a…

A: