For the rational function, y = y-6 2-3x-18 • Determine the equation of all asymptotes Determine all intercepts • Use test values and/or interval tables to determine the function's behavior • Sketch a graph of the function, labelling asymptotes and intercepts

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

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Q: Write an equation for a rational function with:   vertical asymptotes at x=-1 and x=4…

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Q: Find a possible formula for the function graphed below. The x-intercepts are marked with points…

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Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x…

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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-> -∞…

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

A: We have to find a rational function with vertical asymptotes at x =-1 , x= -6,   x-intercepts at…

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

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = -5 x…

A: Vertical asymptote where f(x) tends towards infinity i.e denominator tends towards zero  Horizontal…

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: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = 4…

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

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: write an equation for a rational function with the given characteristics vertical asymptotes at…

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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-> -∞…

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

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Q: Find the horizontal and vertical asymptotes of the curve y = 2x^2 + 16x + 30/x^2 +x−20

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Q: 3. Write an equation for a rational function with the properties as given. a) a hole at x = 1 b) a…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 1 x intercepts…

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Q: Find the intercepts and the vertical asymptote of x2 – 2x-3 f (x) = | x-4 Enter the intercepts as…

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

A: The roots of a function are the values of the variable at which the value of the function is…

Q: Graph the rational function. = (x)/ -x+2 9–x %3D Start by drawing the vertical and horizontal…

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Q: Write an equation for a rational function with the given characteristics. Vertical asymptote at x =…

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Q: The graph of the rational function crosses the horizontal asymptote once. Sketch the graph. x² - 6x…

A: f(x)=x2-6x+5x2-5x+6

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -5…

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Q: Write a rational function whose vertical asymptotes are at x = 1, x = 3, x = -5 and whose horizontal…

A: Since the vertical asymptotes are at x=1,  x=3  &  x=-5, therefore the factors of denominator…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x= -6 x intercepts…

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

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Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x…

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

A: ⇒A function of the form fxnx where f(x) and n(x) are polynomials is called a rational function.…

Q: For the rational function, v = -3r-18 x2-x-6 • Determine the equation of all asymptotes • Determine…

A: y=x2-3x-18x2-x-6

Q: Find the equation of the slant asymptote of the rational function. 2a - 622 + 7z – 12 2a - 5 f(2)…

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Q: Write the equation of a rational function f(x) = p(x)/q(x) having the indicated properties, in which…

A: Given: Vertical asymptote : x = 1, Slant asymptotes whose equation is, y = x, y - intercept: y = 2,…

Q: Graph the rational function f(x) %3D To graph the function, draw the horizontal and vertical…

A: Given query is to graph the function.

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 = 5 and x = -4 x-intercepts…

A: We have to find the equation for the rational function which satisfies given information.

Q: Write an equation for a rational function whose graph has all of the indicated features. • vertical…

A: Topic :- rational function

Q: Graph the rational function f(x) = i+2 To graph the function, draw the horizontal and vertical…

A: The given rational function is: f(x)=-2x+2

Q: Find the equation of the slant asymptote of the rational function. 22 - 4z² + 7z – 8 F(z) = 2z2 - 5…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = 2 x…

A: Given thatVertical asymptotes at x = 6 and x = 2denominator will be (x-6)(x-2)Horizontal asymptote…

Q: Give a rational function with the following characteristics:  a horizontal asymptote of 3, vertical…

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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: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x = -6 %3D…

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Q: sketch the graph of the rational function with the following properties: touches the x axis at 3,…

A: A rational function has following properties,touches the x axis at 3crosses the x axis at -2vertical…

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: 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: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = %3D x…

A: Given, Vertical asymptotes at x=5 and x=3. Therefore, x-5 and x-3 are the factors of denominator.

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = -3 x-intercepts…

A: The rational function is of the form y=rx-ax-bx-cx-d.

Q: Graph the rational function. f(x) =2x+5 -x+2 Start by drawing the vertical and horizontal…

A: From the given problem: fx=-2x+5-x+2 As we know that; To calculate vertical asymptote, equate the…

Q: 7) Write an equation for a rational function with the given characteristics vertical asymptotes at x…

A: Rational function with given characteristics