ACTIVITY THREE: Find the domain and range of the following rational function. Use any notation. 2 1. f(x) = x+1 %3D 2+x 4. f(x) = %3D 3x 2. f(x) = X+3 %3D (x + 1) 5. f(x) = %3D x2-1 3-x

Q: Given the rational function f(x) =", constructa table of values, and sketch the graph of the…

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Q: x-intercept  (x,y)=           (smaller x-value)

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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: the equation for any horizontal asymptotes for the function below.   ​f(x)=8−3x+x2/6+5x+2x2

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Q: The following question is about the rational function r(x) =  (x + 1)(x − 3) (x + 3)(x − 7)…

A: Given rational function is:

Q: C. Determine the vertical and horizontal asymptote of the following rational functions. 1. f(x) = 2x…

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Q: Among all deaths from a particular disease, the percentage that is smoking related 21–39 cigarettes…

A: The rational function that models the percentage of smoking-related deaths among all deaths from a…

Q: Consider the following rational function. - 2x3 - 6 f (x) = %3D x² – 16 Step 2 of 2: Find equations…

A: Given rational function, f(x)=-2x3-16x2-16

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: write a rational function that has a vertical asymptote when x=3, a horizontal asymptote when y=2,…

A: General result: Consider the rational function y: y=ax+bcx+d The vertical asymptote is: -dc The…

Q: Consider the rational function f(x)=x−4x2+2x+14  A: write a ratio of monomial expressions that best…

A: The given rational function is,

Q: Activity 2. Determine which of the following is a rational function, not a rational function or…

A: Your question has 6 subparts we will  solve the first three one. Please resubmit the question with…

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: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

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Q: Find the vertical and horizontal or oblique asymptotes of each rational function. x2 -9 x2 -9 4.…

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Q: Compare and discuss the long-run behaviors of the functions below. In each blank, enter either the…

A: Compare and discuss the long-run behaviors of the functions below. In each blank, enter either the…

Q: 3x+12 Graph the rational function f (x)= x+5x+4 12- 10- 8- 6- 4- 2- -12 -10 -8 -6 -4 -2 2. 6. 10 12…

A: Consider the function

Q: Consider the following rational function. -x2 + 2x - 3 f(x) = -x2 + 12x 32 Step 3 of 3: Identify…

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

A: Use transformation of the graph of y=1/x to graph the rational function.

Q: Write an equation of a rational function r( x P(x) with the x-axis as q(x) %3D its horizontal…

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Q: 16. What is the vertical asymptote of the function f(x) = ? %3D x2-9 A. x = -3 & x 3 B. X 0 C. x 3…

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Q: Write a rational function whose vertical asymptotes are at x = 1, x = 3, x = -5 and whose horizontal…

A: Since the vertical asymptotes are at x=1,  x=3  &  x=-5, therefore the factors of denominator…

Q: I. Sketch the graph of each rational function by hand. 1. f(x) = 4x-6 10 2x +5 8 6 2 -10 -8 -6 -4 -2…

A: In this question we have to find the sketch the graph of each rational function by hand.

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

A: Given

Q: b) What is end behavior for a rational function and are the two types of end behavior? What is the…

A: fx=1x

Q: f(x), the rational function, presents a line when graphed, why is that? 18-11x+x? f(x) = happened?…

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Q: Find an equation for the rational function graphed below. Leave your answer in factored form. 8. 7 6…

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Q: 2x -5x +4x-1 15. R(x)= %3D x²-2x+1

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Q: The following question is about the rational function (x + 1)(x – 3) (x + 3)(x – 8) r(x) = . The…

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Q: 4. Using y = as the reference, what is the equation of the rational function represented by the…

A: Topic = Functions 4) C 5) b 6) c

Q: Write an equation for a rational function with following properties. Assume the multiplicity of each…

A: Vertical Asymptotes:- The  point where the denominator of a rational function becomes…

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

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Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) ex)…

A: see below the answer

Q: Consider the following rational function. 6 f(x) : %3D x- 7 Step 3 of 3: Identify four ordered pairs…

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Q: Find the domain of the rational function: f(x) = (x2 - 25)/(x - 5), b. g(x) = x/(x2 - 25)

A: (a) Consider the provided function, fx=x2-25x-5 Find the domain of the rational function. The domain…

Q: 3. Identify the vertical and horizontal asymptotes of the function: f(x) = %3D (x -3)² x2 -4x -5

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Q: Match the rational function with the appropriate description below. x2 - 9 f(x) = x-3

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Q: 1) State the vertical asymptotes of f(x)= a. x=6₂x=-2 b. x=6, x=2 1 x² - 4x-12 c. d. x=-6, x=-2…

A: Given:         fx=1x2-4x-12 Vertical Asymptote:     For rational functions,the vertical asymptotes…

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: What is the equation of the vertical asymptote for the graph of the rational function g(a) %3D옮? x-1…

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Q: State the equation of f(x) if the vertical asymptote is x = 3, the horizontal asymptote is y= 1, the…

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Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) х-…

A: X intercept when graph touches or crosses x axis  y intercept when graph touches or crosses y axis

Q: Please help

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Q: Identify the following attributes for the graph of this rational function. 4x+x y- 2+x 3. Hole at…

A: Explanation of the answer is as follows

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

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Q: Consider the following. 2x x - 3 4 2 -2 2 4 8 WebAssign Plot -2 (a) Use the graph to determine any…

A: (a) by graph we know that  x-intercept is a point where graph intersect tha x-axis. So graph…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x -2 x intercepts…

A: As per given by the question, There are given vertical asymptotes at x=-5, and x=-2, x intercepts at…

Q: Find the horizontal asymptote of f(x)= - 2x - 4x^3 - 1 / - 5x^3 + x^2 + 3

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Q: = 1 f(x)= = 2 Graph the rational function. kt x-4x+4 x-5x -14 -12. -10 = 3 Continue -6 4. 444 Start…

A: The objective is to draw the graph.

Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection…

A: It can be solved using differentiation.