3 – nx has vertical asymptote x = –3 and x-intercept at (4,0). Determine the values of n and m. Then sket the graph of the rational function.

Q: Find the limit of the rational function a. as x0o and b. as x-oo. Write co or- 0o where appropriate…

A: We have to solve the limit

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 = – 4 and x = 2.…

A: Given: Vertical asymptotes are at x=-4 and x=2. x-intercepts at -1,0 and 5,0. y-intercept at 0,1…

Q: f(x) = -1 O -5 -1/5

A: Given that  f(x)=1/(5x)  To Find the vertical asymptote of the given rational function

Q: x3 – 27 2.- Use the following rational function: r(x) = to find r2 – 9 (a) Domain (b) x and y…

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Q: Let s be the rational function a" + a,- p +...+ ax + ag s(x) br" + bm- " + bx + bo How do you find…

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

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Q: Find a possible formula for the function graphed below. The r-intercepts are marked with points…

A: Intercepts:X-intercepts:(3, 0), (-4, 0)(x-3)=0  and (x+4)=0Terms: (x-3)(x+4) in numeratorVertical…

Q: Use the graph of the rational function to complete the following statement. As x → - 1", f(x) – As x…

A: The given graph has vertical asymptote at x=-1.

Q: - I - ) Let r(x) : 12 + 4x + 3 a) Describe the long-run behavior or r(x), and give any horizontal…

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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: 5 - x For the rational function f(x) find the points %3D x² + 5x +6 on the graph at the function…

A: Given f(x) = 5-xx2+5x+6 we find thePoints on the graph at the function valuef(x) = 3

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: 2. Find the vertical asymptote/s of 7.x f(r) : %3D x2 - 3r- 28'

A: Here we have to find the vertical asymptote of the function f(x)=7xx2-3x-28

Q: Find the limit of the rational function a. as x→∞ and b. as x→ - o. Write o or - o where…

A: (a) The given function is hx=2x48x4+9x3+11x2.

Q: 4. Let (x) - 6x² + 13x+7 3x + 2 What is the equation of the oblique asymptote of f(x)? From what…

A: Solution

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: Write a formula f(x) for a rational function so that its graph has the specified asymptotes.…

A:

Q: The horizontal asymptote of f(x) = 0.8x is y = 0. The horizontal asymptote of h(x) = 0.8x – 10 is y…

A: The horizontal asymptote of f(x) = 0.8x is y = 0

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: 22. Sketch the graph of each of the following rational functions. Ex following. i. the equations of…

A: We have to use properties of rational function to solve the problem

Q: 6. Over what interval(s) is the graph of the rational function positive? а. -2X, 4<X b. -2<X, x<4 d.…

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Q: 6. Read each set of conditions. State the equation of a rational function ax + b of the form f(x)…

A: Dear learner, As per our guidelines, we can provide the solution for first one only. Kindly post…

Q: snip

A: R(x)=x4+1x2

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: 3. a. Create a rational function R(x) that satisfies all of the following: i) no x-intercepts ii) a…

A: we have to create a rational function R(x) , (1) to show that a hole at (2,15):- Now we have a…

Q: ах + b State the equation of a rational function in the form of f(x)= if the vertical asymptote is…

A:

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

A: Solution

Q: Graph the rational function. 2 f(x)= x+1 Start by drawing the vertical and horizontal asymptotes.…

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Q: Identify the rational function with the smallest degree in the numerator and denominator whose graph…

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Q: Identify the rational function with smallest degree in the numerator and denominator whose graph…

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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: 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 = 4, then y →as x→±∞.

A: Given If the rational function y = r(x) has the horizontal asymptote  y = 4

Q: Find a possible formula for the function which has zeros at x=3 and x=−4. It has a vertical…

A: Let f(x)=g(x)h(x) be the required rational function.

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 all vertical asymptotes of the graph of y = - 5x + 10 x² +8x + 12 OAX= -6 and x =5 O B. X = - 6…

A: y=5x+10x2+8x+12We factor the numerator and denominator. y=5(x+2)(x+6)(x+2)(x+2) is in both numerator…

Q: Identify the rational function with smallest degree in the numerator and denominator whose graph…

A: Using a graph, it can be found out whether a function has solutions if the graph cuts the x-axis at…

Q: 32. The rational function y 7x has a horizontal asymptote at y =a and a vertical x -2 asymptote at æ…

A: The given rational function is y=7xx-2

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

A: Vertical asymptotes at x=-2 and x=3 means (x+2) and (x-3) are denominator factors. Horizontal…

Q: -2(x+1)(x+4) (x+2)°(x-3) -(x+1)(x+4)² 2(x-2) (x+3) -2(x-1)(x-4) (x-2)° (x+3) A) R(x) =: B) R(x) =:…

A: We have to find the function using the given data

Q: 16. Given the rational function, find the following x2 + 7x + 12 f(x) 9 – x2 a. Domain b. Vertical…

A: Question 16,Given,            y=x2+7x+129-x2

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

A: We will find the rational function with given conditions as shown 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: Identify the rational function with smallest degree in the numerator and denominator whose graph…

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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: Find the domain and vertical asymptote for each of the rational functions: x+5 f(x) = x-2 domain:…

A: (a). Given: fx=x+5x-2 As we know that the rational polynomial function y=fxgx is defined everywhere…

Q: 3. Given: f(x) = 2x2-x+1 and h(x)=x-7. Find fo g. 3x+1 4. Find the horizontal and vertical asymptote…

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Q: 1. For the rational function g(x)= x'+7x+12 r+x-6 (a) Explain why x=2 is a vertical asymptote. (b)…

A: Explanation of the answer is as follows