Use transformations of the graph of y = 1/x to graph the rational function, as in Example 2. 4х - 17 r(x) = x- 4 y y 10 10- 5. -15 -10 -5 10. 15 -15 -10 10 15 wwww -5 -10 -10F 10 10 -15 -10 -15 -10 10 15 10 15 MacBook Air

Q: 2x+8x Graph the rational function h (x) = x²- 6x+8 www 12+ 10 9. -12-10 -2 10 -6 -4 -2 -4 -8-…

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Q: Find the limit of the rational function (a) as x0o and (b) as x- oo. 4x + 7x°-1 f(x) = 6x° - 2x+2…

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Q: 3. Sketch a possible graph of a rational function, y = fAx), that has all the following properties…

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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: Find the limit of the rational function (a) as x→∞ and (b) as x→ - o. 2x° + 3x2 - 1 f(x) = 9x° - 5x+…

A: a).  Given: limx→∞ 2x9+3x2-19x5-5x+9 Now find the limit. limx→∞ 2x9+3x2-19x5-5x+9=limx→∞…

Q: Sketch the graphs of the rational functions y = x2 + 1/x

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Q: An office copier has an initial price of $2,300. A service contract costs $300 for the first year…

A: solution:-C(n)=2300+275n+25n2(A)The average cost per year for n years is given by C_(n)=C(n)n…

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: 10 Identify the vertical asymptotes of f(x) = x2 - 7x - 30 Ox= = 10 and x = 3 Ox = 10 and x = -3 Ox=…

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Q: Use transformations of the graph of y = 1/x to graph the rational function, as in Example 2. 4 s(x)…

A: Parent function  F(x) = 1/x

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: 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: Use transformations of the graph of y = 1/x to graph the rational function, as in Example 2. 2х — 5…

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Q: Complete the table. f(x) = X - 7)(x + 7). (x - 8)(x + 8) Behavior Sign of x of f(x) Behavior of f(x)…

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Q: 5x-2 Let the rational function f be defined as R(x) 3x-1

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Q: How is the graph of g(x)=-(2x) related to the graph of f(x) = x? A The graph of g(x) is a horizontal…

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Q: Find the limit of the rational function (a) as x→∞ and (b) as x→ - o0. 2x° + 9 f(x) = 3 2 X° - x +X…

A: Follow the steps of the problem a.) And then use them to solve for the problem b.)  Although the…

Q: Find the limit of the rational function a. as x→o and b. as x→→ -∞. x+ 11 f(x) = x° +7 x+ 11 а. lim…

A: Let's find.

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: 13. Sketch a graph of a rational function that satisfies the following conditions Text f(0) = 0,…

A: 1. If f''(x) > 0 , f(x) is concave upward.   2. If f''(x) > 0 , f(x) is concave downward.   3.…

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: A rational function is given. 3x2 + 1 r(x) = (x – 6)2 (a) Complete each table for the function.…

A: i have completed 3 tables for remaining question repost

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

A: The horizontal asymptote of h(x) = 0.8x – 10     To find the Horizontal asymptote        1) make the…

Q: Sketch the graphs of the rational functions  1.  y=(x+1)/(x-3) 2. (x2+1)/x

A: Given:Sketch the graphs of the rational functions:

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: Make a sign diagram for the derivative of the rational function. 36 f(x) = x2 4x - 5 f'(x) 0 f (x)…

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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: 8z2-5+1 f (x) Which of the following is the horizontal asymptote of the rational function 42-3 ? O…

A: Let's find.

Q: 2. If the function y=In(x-10)+3 is shifted four units to the right and two units down then it will…

A: Given:- y=ln(x-10)+3 To find:- If the function y = ln(x - 10) + 3 is shifted four units to the right…

Q: 4x' –11x°+x³ –8x+11 r (x) = and provide an estimate of the order of accuracy. 3x5+x2 – 1

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Q: 3. What is the Vertical Asymptote of the FUNction 1 8. (x + 6) y = -8 X = 6 O y = -6 X = -6

A: We have to find asymptote

Q: 4. Find the x-intercepts of the rational function y = -32. x² –x-2 Ох%3D-2,1. Од%3D 2,—1. O x = 2,…

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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: 3. Sketch a graph of a rational function that satisfies the following conditions: f(0) = 0, f(-3)…

A: Solution:-

Q: 5. What is the Horizontal Asymptote of the FUNction (4x² +7) (3x3 +8) O No Horizotal Asymptote X =…

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Q: 8) Graph the rational function R(x) = using transformations. Determine the (x-3)2 domain, range,…

A: We will use transformations on f(x)=1x2 to sketch the rational function 2(x-3)2. So, first we will…

Q: 2x2-9х+4 Find the x-intercept(s) of rational function r(x)= x³+1 Select one: 1 X= 4 X= - 2' O x= -…

A: for x intercepts put r(x)=0 .and solve the question. see 2nd step.

Q: equation for the horizontal asymptote of the graph of the function. (If an answer does not exist,…

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Q: 2х-1 f(x) (х-3)2

A: We have to find vertical asympototes

Q: find the intercept of f(x)=4x-4/x-2 2.find the asymptote of 3x+6/x2+2x-8 3. sketch the graph of…

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Q: 14 + Write a fully simplified rational function with the asymptotes and point shown. No steps needed…

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

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

Q: Determine the horizontal asymptote of  f(x)=5x^3−5+2x/4x^3−x^2+3

A: Given,          fx=5x3-5+2x4x3-x2+3

Q: Express the given rational function in terms of partial fractions. Watch out for any preliminary…

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