Find the horizontal asymptote, if there is one, of the graph of the rational function: a. f(x) = 9x2/(3x2 + 1) b. g(x) = 9x/(3x2 + 1)

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

A: Please see the answer below.

Q: x+5 f (x) = -x+4

A:

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 = -1 and x = 1 x-intercepts…

A:

Q: Graph all vertical and horizontal asymptotes of the rational function. 2x+5 S(x) = 2x-1

A:

Q: Graph all vertical and horizontal asymptotes of the rational function. -4 f (x) = - 2x+ 7 --- .

A: Given:- f(x) =-4/(-2x+7)  To find:- Graph of all vertical and Horizontal Asymptote

Q: Identify the asymptotes of the rational function X-6

A: Since, the given function is- hx=-3x2+6x-5x-6 The vertical asymptote of the function is given by…

Q: Where are the vertical asymptotes of a rational function located?

A: Given, Where are the vertical asymptotes of a rational function located

Q: Find the horizontal asymptote, if there is one,of the graph of the rational function h(x) =12x3/(3x2…

A:

Q: Find the horizontal asymptote, if there is one, of the graph of the rational function: h(x) =…

A:

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: Find the horizontal asymptote, if there is one,of the graph of the rational function f(x) =12x/(3x2…

A: Concept: Given:

Q: Determine the domain and the equations of the asymptotes for the graph of the rational function.

A: as we can see from the graph, the vertical asymptote is x=2 so the domain is -∞ , 2∪2, ∞

Q: Determine an equation of a rational function with a vertical asymptote at x = 1 and an oblique…

A:

Q: The graph of a rational function has vertical asymptotes at x=- and r=1, x-intercepts at 2 (-4, 0)…

A:

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

A:

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

A:

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

A: Given: Vertical asymptotes at x=-6 and x=2 It can be written as, (x+6) and (x-2) x intercepts at x=6…

Q: The graph of the rational function shown above has vertical asymptotes at x =-2 and

A: Given, Vertical asymptotes: and Horizontal asymptote: From the given graph, we have x-intercepts…

Q: Sketch the graph of the given rational function by determining the followi a. Intercepts b. Vertical…

A:

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: x+8 f (x) = 2x+1

A: We have to draw the graph

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

A:

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: If the graph of a rational function R has the vertical asymptote x=4 , the factor x-4 must be…

A:

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

A: Solution: the objective is to write the equation for a rational function

Q: Find the horizontal asymptote, if there is one, of the graph of the rational function: f(x) =…

A: Consider the rule, for finding the horizontal asymptote of any given rational function. For any…

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: Under what circumstances does a rational function have a slant asymptote?

A:

Q: Where (for what values of x) does the rational function (x + 28)(x – 92) f(x) 12 x + 97)(x + 16)(x +…

A: Let f(x)=p(x)q(x) be a rational function then if p and q have a common factor (x-a) that…

Q: Determine an equation for a rational function with a horizontal asymptote at y = 2,  vertical…

A: We have to determine an equation for a rational function with a horizontal asymptote at y= 2,…

Q: Find the equation of a rational function that has a vertical asymptote at x = 2 and a horizontal…

A: It is given that, the vertical asymptote of the function is x=2 and the horizontal asymptote of the…

Q: Find the horizontal asymptote, if there is one, of the graph of the rational function: h(x) =…

A: Given function is h(x)=12x33x2+1

Q: Determine the equation of a rational function f (x) = 8х — 4 that has a vertical asymptote at x = -…

A: Given query is to find the the function with given horizontal and vertical asymptot. Aa

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

A: Given that the vertical asymptotes are x=-6 and x=1 So the denominator is (x+6)(x-1).   x-intercepts…

Q: Does the graph of every rational function have a vertical asymptote? Explain.

A: Does the graph of every rational function have a vertical asymptote? Explain.

Q: Write an equation for a rational function whose graph ha • vertical asymptote with equation x-3 •…

A: Introduction: Rational functions are those in which the denominator polynomial is not equal to zero…

Q: Find the horizontal asymptote, if there is one,of the graph of the rational function h(x) =15x3/(3x2…

A: Solution:-  The given function is  h(x)=15x33x2+1

Q: Find the horizontal asymptote, if there is one, of the graph of the rational function: f(x) = (-2x +…

A: Since the given function is f(x) = (-2x + 1)/(3x + 5) Here numerator= (-2x + 1), and denominator=…

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

A:

Q: The graph of a rational function, f(x), has a point of discontinuity when x = 2 and an asymptote…

A:

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: Use the graph to find the vertical asymptote of the rational function. 10- 2 4 8 10 -5 -tho

A: Vertical asymptotes: The vertical asymptote in a rational function is a vertical line x='k' where…

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

A: To find a rational function with the following properties

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

A:

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 an equation for a rational function with: Vertical asymptotes at x = 1 and x = 3…

A: Question- Write an equation for a rational function with:   Vertical asymptotes at x = 1 and x = 3…

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

A:

Q: Where (for what values of x) does the rational function (x – 3)(x + 4) - f(x) = 36 (x + 74)(x – 3)(x…

A:

Q: Graph all vertical and horizontal asymptotes of the rational function. 11 S4)= -2x+4x-2 田

A: