If the rational function y = r(x) has the vertical asymptote x = 9, then as x → 9+, either y → (smaller value) or y → larger value).

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

A: Topic  =Function

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

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Q: 4-The rational function y=ax?/(bx2+(2b+1)x +b) has one vertical asymptote and passes through point…

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Q: Consider a rational function f(r), given by P(x) q(z)' where the degrees of p(r) and q(r) are m and…

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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: 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: 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: Find the limit of the following rational function as (a) x→o and (b) x→ - o. 3 2 - 4x° - 4x + 3 h(x)…

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Q: Graph the rational function. x2 + 4x - 5 y х- 3 30 20- 10 -12. 8 40 -30 -20 -10 10 20 30 40 X 20 30-…

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Q: a)Prove that 3d − c = 2. b)If the vertical asymptote of the above rational function is the line x =…

A: We have to- prove that 3d − c = 2,   determine the value of d,   determine the value of c, and…

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: Find the rational function if the vertical asymptotes are x=−9/8 and x=8/2 and the horizontal…

A: Given: Vertical Asymptotes: x=-98, x=82Horizontal Asymptotes: y=-416x-intercepts: x=84, and x=-2 To…

Q: F the rational function y = r(x) has the vertical asymptote x = 7, then as x 7*,

A: If a rational function y=r(x) has vertcal asymptote x=7 then as x→7 plus , either y→-∞(smaller…

Q: A rational function has a point of discontinuity at x = 3 and a vertical asymptote at x = -5. The…

A: We need to write a function in the form of f(x)=x-ax2+bx-c

Q: Suppose f ( x ) = g ( x ) h ( x ), is a rational function (that means g ( x ) and h ( x ) are…

A: f ( x ) = g ( x ) / h ( x ) , g ( x ) and h ( x ) are polynomials  If h(x) and g(x) does not have…

Q: x2 – 9x + 18 - Find all the vertical asymptotes of f(x) = x² – x – 6 - -

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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

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

Q: If the rational function y = r(x) has the horizontal asymptote y = 1, then y as x

A: Given, rational function is y=r(x) has horizontal asymptote at y=1.

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: Graph all asymptotes of the rational function. x+7x-3 S(x) = x+3 7+ EX 2- -8 -7 -6 -5 -4 -3 -2 -1…

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Q: sketch the following rational functions by determining all critical values. h(x)=x2-2x-8/x2-9

A: To evaluate the critical points of the rational function h(x) = 0 we must solve the equation h'(x) =…

Q: The following question is about the rational function r(x) =  (x + 1)(x − 2) (x + 2)(x − 9)…

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Q: In Problem,find the vertical,horizontal,and oblique asymptotes,if any,of each rational function.

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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: For the rational function f(x)=5x2x2−5x+6f(x)=5x2x2-5x+6, there are vertical asymptotes at x= and…

A: The given rational function is: f(x)=5x2-5x+6 The line x=Lis a vertical asymptote of the function…

Q: For a rational function of the form: p(x) = d ar+b explain how to determine the equation of the…

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

A: Solution

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: Create a rational function that matches everything below Has zero at (3,0) has a hole at (-1,4)…

A: Here is the solution of the given problem

Q: If the rational function y = r(x) has the horizontal asymptote y = 9, then y → _____as x → ±∞.

A: We know that, For the given function,  x → +∞ and  x → -∞ when y= the horizontal asymptote. Here,…

Q: If the rational function y = r(x) has the horizontal asymptote y = 5, then y → as x → to.

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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: If the rational function y  r1x2 has the horizontalasymptot

A: Given :  If the rational function  y=r(x) has horizontal asymptote y=2.      Horizontal…

Q: find the x- and y-interceptsofthe rational function. (if an answer does not exist, enter DNE.)…

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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: 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 the limit of the rational function (a) as x→oo and (b) as x- 0o. Write oo or - 0o where…

A: Given, f(x)=5x+87x+7

Q: The limit of a rational function when x approaches to infinity is zero. O True O False

A: We have to define given statement is true or false

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: Given a rational function f(x)=n(x)/d(x), then f(x) has a vertical asymptote at x=c if:  A. n(c) =…

A: Answer is given below

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: f(x) is a rational function given in both standard and factored forms.

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Q: 1. If the rational function y = r(x) has the vertical asymptote %3D x = 2, then as xr→2*, either…

A: Given: y=rx

Q: Find a rational function which has a vertical asymptote ofx= 4, a horizontal asymptote ofy= 0,and…

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

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

Q: Consider a rational function r(x) : p(x) Pe, where the degree of p(x) is m, and the degree of q(x)…

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