2) Give an example of an equation of a rational function Q satisfying all of the conditions: Vertical asymptotes: x = 2 and x = -- %3D Horizontal asymptote: y = 0 x - intercept: (0, –3)

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: 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 = 2 and x = -5 x intercepts…

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Q: 10. A rational function has a slant asymptote when

A: We need to tell when will a rational function have a slant asymptote.

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

A: Solution

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: 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: 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: 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: 6. Write equations for the asymptotes for the graph of f(x) = sec 2x on the interval %3D 2 2

A: fx=sec2x ,   -π2, π2 Given function can be written as, fx=1cos2x     ∵secx=1cosx

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: 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: 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: 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: 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: 3 What is the equation of the vertical asymptote of Ax): 10x+ 2 ? O a) x- O b) x--s c) y = O d) y-

A: Given function is  f(x) = 3/(10x+2)  Find vertical Asymptotes.

Q: ind the equation of the horizontal asymptote for y = 12(1 + 2^−x)

A: Giveny= 12(1+2-x)

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at 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: Find an equation of a rational function f that satisfies the given conditions. vertical asymptotes:…

A: Solution:-Given ,vertical asymptotes:x=-5,x=3horizontal asymptote:y=0x-intercept:-1;f(0)=-2hole at…

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

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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: Find the horizontal asymptote of the graph of the function. (If an answer does not exist, enter…

A: Given, The function  fx=x3-3x2+4x+1x2-4x+3 We have to find the horizontal asymptote of the graph of…

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

A: Solution

Q: Choose the equations of all the asymptotes to the graph of За3— 2? — За + 1 - - f(x) = (2æ – 1) ·…

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

A: Given  Vertical asymptote at  x=-3 Horizontal asymptote at y=32 x intercept is x=5 Hole at x=2

Q: The equations of the vertical asymptotes to the graph of f (x) 4 has x2

A:

Q: Graph all vertical and horizontal asymptotes of the rational function. 9. S(x) = |3D x+6 ---- ----

A: The graph is shown below:

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

A: Rational function f has a vertical asymptote given by x=3, a horizontal asymptote y=0, y-intercept…

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

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Q: 1. Determine the equation of the vertical asymptote f (x)%3D 2x - 5

A: We will find the equation of vertical asymptote as following.

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: 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: 38. (a) Find the vertical asymptotes of the x² + 1 y = 3x - 2x2 (b) Confirm your answer to part (a)…

A: Given function

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: 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: 5. Determine the equations of the vertical asymptotes 1 S(x) = %3D x² - 8x + 12

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Q: If the rational function y = r(x) has the vertical asymptote x = 2, then as x → 2+, either y →…

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Q: Provide an example of : a) a quadratic whose reciprocal function will not have any vertical…

A: To provide examples of given statements.

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 an equation of a rational function f satisfying the following Vertical asymptote: x = −1, x =…

A: Consider the rational function y=fxgx. Given that the Vertical asymptotes are x = −1 and  x = 1.…

Q: 9. State the equation of a rational function that has all of the following: Holes at x -5, x 1…

A: NOTE: Refresh your page if you can't see any equations. . here vertical asymptote is x=3 so the…

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

A: Rational function with given characteristics