Which type(s) of discontinuity are present in the rational function below? z-2 f (x) 1²_6x+8 O Infinite Discontinuity at x=4 and Removable Discontinuity at x=2 O Infinite Discontinuity at x=2 and Removable Discontinuity at x=4 O Only Removable Discontinuity at x=2 O Jump Discontinuity at x=4 and Removable Discontinuity at x=2 O Only Infinite Discontinuity at x=4 O Infinite Discontinuity at x=4 and Jump Discontinuity at x=2

Q: -5 f(x) = x+5 %3D

A: Please see the answer below.

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

A: Given that  Vertical asymptotes at x=5 and x=-3 x intercepts at x=-6 and x=-5 Horizontal asymptotes…

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

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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 = 4 and x = 2 x intercepts…

A: Let rational function  y =k( NxDx) D(x) = 0 gives vertical asymptotes  x = 4 and x= 2 are vertical…

Q: When graphing a rational function with a removable discontinuity on Desmos, you will see which word…

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

A: Given that:   Vertical asymptotes at x= -4 and x = -5   x-intercepts at x = -2 and x = -3   y…

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

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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 = -5 x…

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

Q: Construct a rational function with a vertical asymptote of x=1, -1 and horizontal asymptote 4

A: Since vertical asymptotes are x=1, -1  So the factors of the denominator are (x-1)(x+1) Since the…

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: 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 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 = -5 and x = 3 x-intercepts…

A: THe required rational function is of the form rx=a pxqx. Given that it has vertical asymptotes at…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -4 x-intercepts…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = 3 x…

A: Given: Vertical asymptotes at x = 4 and x = 3 and x-intercepts at x = -5 and x = -4 and Horizontal…

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

A: Given query is to find the rational function with given characteristics.

Q: Find the horizontal asymptote of the rational function. F(x) = 2x2 + 4/ x2 + x + 5

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

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

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Q: Give an example of a rational function that has a slant asymptote of y=x

A: We have to find an example of a rational function that has a slant asymptote of y=x

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: 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: Determine the slant asymptote of the rational function f(x) - Oy=5x-9 Oy = 5x + 9 Oy=5x-1 Oy= 5x + 1…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = 4 x-intercepts…

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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: Find the horizontal asymptote of the rational function.  F(x) =  3x3 − 24x2 + 2x − 11/ x5 − 4x3 + 7

A: Given the function: Fx=3x3-24x2+2x-11x5-4x3+7 To find: horizontal asymptote

Q: Find the vertical asymptotes of the rational function. g(x) = 5x x +6 x = -6 x = 5 x = 6 none

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

A: Given, Vertical asymptotes at x=2 and x=-1 x-intercepts at x=-5 and x=4 Horizontal asymptote at y=3…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 5 and x -1 %3D…

A: To find the equation of rational function having vertical, horizontal asymptotes and x intercepts.

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: The rational function f(x)= x²-4 is discontinuous at x = 0 only. Select one: True False

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Q: write an equation for a rational function with  Vertical asymptotes at x=-3 and x=4 X intercepts…

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Q: Find the horizontal asymptote of the rational function.  F(x) =  3x3 − 24x2 + 2x − 11 x5 − 4x3 + 7

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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: Graph all vertical and horizontal asymptotes of the rational function. f(x) = x+4 %3D ---- +2+ 3- 5-…

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

A: The rational function hasvertical asymptotes at x=5 and x=-5x intercepts at x=6 and x=2Horizontal…

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: 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: Write a rational function that meets the following criteria: Vertical asymptote at x=1 Horizontal…

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

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

A: To Write: An equation for a rational form with:i. Vertical asymptotes at x=−5 and x=3ii. Horizontal…

Q: Write the equation of a rational function of the form y= quadratic/quadratic that satisfies the…

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

A: To find the equation for the rational function

Q: Graph all vertical and horizontal asymptotes of the rational function. f(x) = x+2

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

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