The following question is about the rational function (x + 1)(x – 2) (x + 2)(x – 4) r(x) The function r has vertical asymptotes x = (smaller value) and x = (larger value).

Q: 2x+8x Graph the rational function h (x) = x²- 6x+8 www 12+ 10 9. -12-10 -2 10 -6 -4 -2 -4 -8-…

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Q: Formulate the rational function given the following characteristics: Vertical asymptote x= 7…

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Q: 31 2 -4 -3 -2 -1 2 3 17x For the above rational function f( x ) = identify its three inflection…

A: in the question it is asked to calculate the inflection points for the rational function f(x) =…

Q: 2- -5 -4 -3 -2 -1 16 For the above rational function f( x ) = identify its three inflection points.…

A: The given rational function is: fx=16x3x2+4 To find the inflection points, equate this to zero.…

Q: x³ - 2x? + 4x - 8 x² - 11x + 18 is undefined. Determine whether an asymptote or a hole Determine…

A: We have given function Rx=x3-2x2+4x-8x2-11x+18 Function is undefined where denominator is zero. If,…

Q: What is the equation for the horizontal asymptote of the rational functional graph? 1) y=2 2)Y=3…

A: The domain of the given function is, D=x|x≠2 The rage of the function is,

Q: Find all vertical and horizontal asymptotes of the rational function. 9x3 f(x) = x2 + 8x +15…

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Q: 10 Identify the vertical asymptotes of f(x) = x2 - 7x - 30 Ox= = 10 and x = 3 Ox = 10 and x = -3 Ox=…

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Q: Determine a rational function that meets the given conditions, and sketch its graph. The function f…

A: For vertical asymptotes of a rational function, take denominator zero

Q: 5æ? and For the rational function f(x) there are vertical asymptotes at x = x2 - 5x +6 a horizontal…

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Q: The following question is about the rational function r(x) =  (x + 1)(x − 2) (x + 2)(x − 7)…

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Q: 6. Sketch the rational function: f(x) = = "Hole" Sketch -6 Domain Range VA HA . Label graph -2 of:…

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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: The following question is about the rational function (x + 1)(x - 2) rex) = (x + 2)(x – 6) The…

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Q: The horizontal asymptote of f(x) = 0.8x is y = 0. The horizontal asymptote of h(x) = 0.8x – 10 is y…

A: The horizontal asymptote of f(x) = 0.8x is y = 0

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

A: If the degree of the denominator is bigger than the degree of the numerator, the horizontal…

Q: 11. Consider the following rational functions: 2x 1 x + 27 x -- 9x x² + x - 6 x + 6x² + 9x r(x) s(x)…

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

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Q: Explain why the function f(x)=3x+2/x²+5x+3 has no vertical asymptotes.create a rational function so…

A: Given function has vertical asymptote

Q: Create a rational function that has the followingcharacteristics: crosses the x-axis at 3; touches…

A: It is given that, A ration function crosses the x-axis at 3, touches the x-axis at - 2; one vertical…

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

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Q: What is the equation of the rational function g(x) and its corresponding slant asy -10-9-8 O O O 7…

A: Given: Graph:

Q: (a) Create a rational function /(x)such that the function has: 2 vertical asymptotes 1 hole 1…

A: Solution

Q: 8z2-5+1 f (x) Which of the following is the horizontal asymptote of the rational function 42-3 ? O…

A: Let's find.

Q: 8. Graph the rational function. horizontal asymptotes. 3x-12 a. r(x)= x+1 Show clearly all x- and…

A: Graphs are to be drawn first and then asymptotes and intercepts need to be marked.

Q: 3–6 ■ The following questions are about the rational function

A: Given rational function is: rx=x+1x-2x+2x-3 (3) The function r has x-intercepts where:…

Q: 6. The rational function f(x) = + k is transformed to g(x) = -5f(x+3)-1. Which row in the table x-2…

A: Given that fx=1x-2+k is transformed to gx=-5fx+3-1. The objective is find the asymptotes that best…

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: 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: 8 R -5 -4 -3 -2 -1 3+ For the above rational function f( x ) = lowest = middle = highest = 12 %3D…

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

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Q: 32. The rational function y 7x has a horizontal asymptote at y =a and a vertical x -2 asymptote at æ…

A: The given rational function is y=7xx-2

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: The following question is about the rational fo r(x) = x + 1)(x – 3) (x + 3)(x – 6) The functionr…

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Q: 1. f(x) x + 4 2x² –13x -7 ||

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Q: If the rational function  y = r(x)  has the vertical asymptote  x = 3,  then as  x → 3+,  either  y…

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Q: Find a rational function that satisfies the given conditions. Which rational function satisfies the…

A: Given query is to find indicated function.

Q: symptote of the rational function y = ax2 +bx+c/x-2 passes through the origin,(0,0). PROVE that…

A: In the given question, the concept of slant asymptote is applied. Slant Asymptote Because the degree…

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: The following question is about the rational function (x + 1)(x - 3) (x + 3)(x - 7) r(x) = The…

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Q: 2x2-9х+4 Find the x-intercept(s) of rational function r(x)= x³+1 Select one: 1 X= 4 X= - 2' O x= -…

A: for x intercepts put r(x)=0 .and solve the question. see 2nd step.

Q: Find an equation for rational function if Vertical asymptotes are at x=9 and x=6, x-intercept is at…

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Q: 2+1 22-4. Sketch the graph of the rational function r(z)=

A: Here in this question we have to plot the graph of given rational function.

Q: Develop the equation of a rational function where the following criteria are met. • 3 Vertical…

A: The objective is to develop the equation of a rational function that has three vertical asymptotes,…

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: The horizontal asymptote of  f(x) = x / (x2 + 3) is ?

A: Explanation of the solution is given below...

Q: 2x-x2 x2 – 4x+3 Describe the behavior of the rational function y= near vertical asymptote x = 1.…

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