Find the slant asymptote of the rational function. (Let y be the independent variable.) F(x) = 3x2 + 2x − 1/x+4

Q: Find the domain of the rational function f(x) =x/(x2 - 16) and graph the function.

A: The given function is :

Q: Find the domain, intercepts and asymptotes of the rational function. 20. f(x) =; x+2 %3D 3x-6

A: Solution: Consider the given rational function is: f(x) = x +23x -6 Domain: The domain of the…

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

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Q: 4. Determine if the rational function has a hole. If it does, find the coordinates. x + 3x g(x) : х3…

A: Yes, the rational function has hole. The coordinates of hole is (0 ,12 )

Q: Find the slant asymptote, if any, of the graph of the rational function. x2 - 9x +9 20) f(x) %3D X+8

A:

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

A: Concept: Given:

Q: Graph the rational function. Show clearly all x- and y-intercepts and asymptotes, and state the…

A: r(x)=1(x+2)2

Q: x² – 25 Find the vertical and horizontal asymptotes of the rational function f(x) x2 + 5x

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Q: Give the equation of the vertical asymptote(s) of the rational function g(x) = (x ^ 2 + 3x - 4)/(x ^…

A: Vertical Asymptote: A vertical asymptote for a function f(x) is a vertical line x = k  where the…

Q: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…

A: The transformation method is used to find the graph of a function from the graph of a standard…

Q: Find the equation of the slant asymptote of the rational function. 273 - 4x2 + 7x – 6 f(z) = 2x2 – 5…

A: Using formula of slant asymptote.

Q: Graph all vertical and horizontal asymptotes of the rational function. f(x)= x²+2x-3 2x² +3

A: I have appended the formula used in the solution part of the question

Q: -x + 4x+3 2 f(x) = x-3

A: Given:      fx=-x2+4x+3x-3

Q: Find the domain of the rational function. x + 6 h(x) = x2 - 4x

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

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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: Find the vertical asymptotes of the rational function. x +9 35) g(x) = x2 +1

A:

Q: Find an equation of a rational function having the given asymptotes, intercepts, and graph. The…

A: Given

Q: (a) Under what circumstances does a rational function have a slant asymptote? (b) How do you…

A: (a)  The form the rational function is P(x)Q(x) where, P(x) is the numerator and the Q(x) is the…

Q: Find the domain of the rational function. (Enter your answers as a comma- separated list.) x2 + 9…

A: Given f(x)= (x^2+9)/(x^2-4x-21) A rational function is simply a fraction and in a fraction the…

Q: Given the rational function that model the given situations, f(x) = (150x + 120)/(0.05x + 1); the…

A: Given:Given function is f(x)=150x+1200.05x+1and number of bass f(x), after x months in a…

Q: Find the domain of the rational function f(x) = x/(x2 - 16) and graph the function.

A: The given function is fx=xx2-16. Obtain the domain of the rational function as follows: Take the…

Q: Find the domain of the rational function. x-5 f (x) = x+8 Enter your answer in interval notation.

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

A: We have to find vertical and horizontal asymptotes.

Q: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…

A:

Q: Find the rational function if the vertical asymptotes are x=−98x=−98 and x=82x=82 and the…

A: Given query is to find the missing function.

Q: Find the horizontal asymptote, graph of the rational function. -7x+4 f(x)%3D 5x +2

A: We use leading coefficients for finding asymptote

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

A:

Q: Write a rational function that has x=-2 as its only vertical asymptote, a hole on the line x=2 and a…

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Q: Consider the following rational function. - 2x3 - 6 f (x) x2 - 16 Step 1 of 2: Find equations for…

A: by property of rational function vertical asymptotes exits when denominator is zero..

Q: Graph all asymptotes of the rational function. 4x+ 2x-7 f (x) = 2x+ 3

A: f(x)=4x2+2x-72x+3vertical assymptotes:Denominator =02x+3=0⇒2x=-3x=-32Horizontal assymptotesNot…

Q: Find the horizontal asymptote, if any, of the graph of the rational function. f(x)=-8x+3/5x+4

A: Given, f(x)=-8x+35x+4 We know that, If the degree of the denominator is bigger than the degree of…

Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DI x² – 4…

A: To find the x and y-intercept of the below function. rx=x2−4x2

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: Find the domain of the rational function f(x) = (x + 1)/(x2 + 2x - 3) and graph the function.

A: fx=x+1x2+2x-3 The given function is not defined at which denominator is zero. So first we find the…

Q: Graph the rational function. x+12x+10 f(x): 2x+4 Start by drawing the asymptotes. Then plot two…

A:

Q: Find the vertical asymptotes of the rational function. f(x)= x-5/25x-x^3 a. x=0,x=5 b. x=−5,x=5…

A:

Q: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…

A: Given: y = 1x To graph: Using the transformations to graph the function  s(x) = -2x-2 and to state…

Q: Given the rational function that model the given situations, P(x) = 72,900/ (100x2 + 729) ; the…

A: The given rational function, which model (describe) the given situations is: P(x)=72,900(100x2 +729)…

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

A:

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

A: Given that: The rational function is f(x) = 15x3x2+1 .

Q: Find the domain of the rational function f(x) =(x + 1)/(x2 + 2x - 3) and graph the function.

A: Given the rational function, f(x)=(x+1)(x2+2x-3)

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

A: Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of…

Q: State the vertical asymptote of the rational function. F(x)=(x-6)(x+6)/X^2-9

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Q: Find the domain of the rational function. x-7 f (x) = x+5 Enter your answer in interval notation.

A:

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

A: a) The function is given by fx=9x23x2+1 The objective is to find the horizontal asymptote.