1. Write an equation for a rational function whose graph has all of the indicated features Vertical asymptotes with equations x = - 3 Horizontal asymptote with equation y Holee at x = -2 and x = 0 No x - intercepts 2. The function f is of the form f(x) = , x -. Given that the graph of f has asymptotes at x = -4 and y = -2, and the point (, 1) lies on the graph, find the values of a, b and c.

Q: Determine the equation of a rational function with vertical asymptotes at x = - horizontal asymptote…

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Q: Pg 487 Question #6 Give the equations of any (a) vertical and (b) horizontal asymptotes for the…

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Q: 1. The equation(s) of the asymptote(s) of the rational function y =2 (x - 3) / (x^2 + 4), are: a) x…

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Q: 3. Sketch a possible graph of a rational function, y = fAx), that has all the following properties…

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Q: A rational function f(x) has one vertical asymptote x= 2, and one horizontal asymptote, y= -3 and…

A: Topic  =Function

Q: Write an equation for a rational function with: Vertical asymptotes at x = – 4 and x = 2.…

A: Given: Vertical asymptotes are at x=-4 and x=2. x-intercepts at -1,0 and 5,0. y-intercept at 0,1…

Q: The graph below belongs to a rational function f(z) = p(z) with horizontal and vertical asymptotes y…

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Q: An office copier has an initial price of $2,300. A service contract costs $300 for the first year…

A: solution:-C(n)=2300+275n+25n2(A)The average cost per year for n years is given by C_(n)=C(n)n…

Q: A rational function f(x) has one vertical asymptote x= 2, and one horizontal asymptote, y=-3 and the…

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Q: Determine an equation of a rational function with a vertical asymptote at x = 1 and an oblique…

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Q: The graph of a rational function has vertical asymptotes at x=- and r=1, x-intercepts at 2 (-4, 0)…

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Q: ах + b Write a rational function in the form of f(x)= that has a zero at x=-1, a vertical asymptote…

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Q: 22. Find the equation of a rational function that could have the graph shown. Take into account…

A: 22. To Find: The equation of a rational function that could have the graph given. Also we have to…

Q: Find a formula for a rational function that has a vertical asymptote atx = 3 and a horizontal…

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Q: Given the equation of a rational function, fill in the information in the table: ation у-intercept…

A: Here, we are going to solve only one question and for the remaining question post the question…

Q: 16. Construct an equation of a rational function whose graph has a hole at the coordinates (-2, 0),…

A: Given, x=1, x=-3, y=-5 are vertical and horizonatal asymptote. vertical asymtote is the denominator…

Q: 3. Sketch the graph of a rational function satisfying the following conditions. > There is a…

A: According to Bartleby guidelines, solution of 1st question will be provided.

Q: 5. Sketch the graph of the following rational function. 2x – 1 f(x) x² + 2x – 3 Part A: y…

A: In the question it is asked to draw the graph and mark points in it.

Q: Determine a rational function R(x) that meets the given conditions: R(x) has vertical asymptotes at…

A: Given that R(x) has vertical asymptotes at x=-2 and x=0 and horizontal asymptote is at y=0 and…

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: x-1 f (x) = -2 y=0 y=1 y=1/2 No horizontal asymptote

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Q: 2. Write the equations of functions satisfying the given properties, in expanded form. a. Cubic…

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Q: 22. Sketch the graph of each of the following rational functions. Ex following. i. the equations of…

A: We have to use properties of rational function to solve the problem

Q: 1. Write an equation of a rational function that satisfies ALL of the given the given conditions…

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Q: 2) Give an example of an equation of a rational function Q satisfying all of the conditions:…

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Q: f(2) is a rational function given in both standard and factored form 2 + 2x - 8 (2-2)( +4) Let f(x)…

A: 1) Points on the x-axis are (-4,0) and (2,0)

Q: If the rational function

A: Vertical asymptote: x = a is a vertical asymptote of y = f(x) if at x = a function is not defined.

Q: 3. a. Create a rational function R(x) that satisfies all of the following: i) no x-intercepts ii) a…

A: we have to create a rational function R(x) , (1) to show that a hole at (2,15):- Now we have a…

Q: Graph the rational function. 2 f(x)= x+1 Start by drawing the vertical and horizontal asymptotes.…

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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: 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: If the rational function y = r(x) has the horizontal asymptote y = 4, then y →as x→±∞.

A: Given If the rational function y = r(x) has the horizontal asymptote  y = 4

Q: Find a possible formula for the function which has zeros at x=3 and x=−4. It has a vertical…

A: Let f(x)=g(x)h(x) be the required rational function.

Q: 4. Give an algebraic example of a rational function whose graph has the horizontal asymptote y = -3,…

A: Given :-  Give an algebraic example of a rational function whose graph has the horizontal asymptote…

Q: What is the End Behavior of the following rational function: 2z2+3z-2 y = z+3 Slant Assymptote of y…

A: End behaviour of function

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

A: We have to use given properties of function.

Q: State the equation of the rational function that meets these conditions: 1. Vertical asymptote at x…

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Q: An office copier has an initial price of $2,200. A service contract costs $300 for the first year…

A: First we required to find roots of curve  C= 2200+270n+30n2  These are imaginary and equals to…

Q: Find an equation of a rational function f that satisfies the given conditions. vertical asymptotes:…

A: Vertical asymptotes at x=-2 and x=3 means (x+2) and (x-3) are denominator factors. Horizontal…

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

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Q: -2(x+1)(x+4) (x+2)°(x-3) -(x+1)(x+4)² 2(x-2) (x+3) -2(x-1)(x-4) (x-2)° (x+3) A) R(x) =: B) R(x) =:…

A: We have to find the function using the given data

Q: The horizontal asymptote of f(x)=0.8^x is y=0 what is the horizontal asymptote of h(x)=0.8^x-10

A: Given   h(x)=0.8x-10Horizontal Asymptoteline y=L is a horizontal asymptote of the functiony=f(x), if…

Q: 2. If the rational function y = r(x) has the horizontal asymptote y = 2, then y→- as x t00.

A: if the rational function y=r(x), has the horizontal asymptote y=2, then

Q: 13. Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) =…

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Q: 2=2–5z+1, What are the asymptotes of the rational function y T-2 Vertical Asymptote: Horizontal…

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Q: State the equations of the vertical and horizontal asymptotes for the rational function. f(x) = -11)…

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Q: find the intercept of f(x)=4x-4/x-2 2.find the asymptote of 3x+6/x2+2x-8 3. sketch the graph of…

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Q: Find the domain and vertical asymptote for each of the rational functions: x+5 f(x) = x-2 domain:…

A: (a). Given: fx=x+5x-2 As we know that the rational polynomial function y=fxgx is defined everywhere…

Q: An office copier has an initial price of $2,300. A service contract costs $300 for the first year…

A: We have to solve last part of given question.