102. a. Write an equation for a rational function f whose graph is the same as the graph of y = shifted to the right 4 units and down 3 units. b. Write the domain and range of the function in interval notation.

Q: Follow the seven steps stategy to graph the rational function: f(x)=4x2/(x2 - 9)

A:

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

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Q: Sketch the graphs of the rational functions y = x + 1/x - 3

A: We make a table with different values of x and y x y 1 -1 2 -3 0 -1/3 -1 0

Q: Use the graph of the rational function to complete the following statement As x -4, (x) As x -4, x)…

A: Since we know that asymtodes meets the curve at infinity. Therefore from the graph we can see that…

Q: Use everyday language to describe the graph of a rational function f such that as x→ - ∞, f(x) → 3.

A:

Q: Follow the seven steps stategy to graph the rational function: f(x) =2/(x2 - 1)

A: Given  The seven steps strategy to graph the rational function are  1) Find domain ,2) Find range ,…

Q: 4. For the interval of decrease of the rational function y = (x-3)/ (2x - 6), Ara says (3, + o0) is…

A: A function is increasing in an interval, if f(x1)<fx2 for x1<x2. A function is decreasing in…

Q: Follow the seven steps stategy to graph the rational function: f(x) =- 2/(x2 - x- 2)

A:

Q: Follow the seven steps stategy to graph the rational function: f(x) = 4x/(x2 - 1)

A: The steps are as below: Step 1) Factor numerator and denominator. Here, the numerator is 4x, so we…

Q: Explain how to obtain the rational function g(x) = from the parent function f(x) = !

A: Let's find.

Q: Follow the seven steps stategy to graph the rational function: f(x)= -x/(x +1)

A:

Q: Write the domain

A: The domain of a function is the set of all possible inputs for the function, such that the function…

Q: Sketch the graphs of the rational functions y = 2x/x + 5

A: given: the function y=2xx+5

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: If the graph of a rational function R has the horizontalasymptote y = 2, the degree of the numerator…

A: Answer :   Equal           A rational function will have a horizontal asymptote when the degree…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = 2 x…

A:

Q: Decide which of the rational functions might have the given graph. 1 O A. f(x) = 1+ - *B. f(x) = 1--…

A: In the graph given, it can be observed that- At x =1, function f(x)=0 As x→ +infinity, function…

Q: Analyze the following graph of a rational function

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Q: Determine the equation for the graph of the following rational function. 10 LED 201 SENCHESTMENTS…

A: To Determine: The equation of the graph of the following rational function:

Q: 2. Which of the following statements best describe the graph of the rational function below?

A: here given the graph of rational function

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

A: Given,

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

A:

Q: Use the graph of the rational function to complete the following statement. As x → - 0o, f(x) → As x…

A: The graph of the function is given by To evaluate : As x→-∞, f(x)→?

Q: Use the graph of the rational function to complete the following statement. 3- As x - 00, f(x)→ -7

A:

Q: 8. Graph the following rational function. Show ALL steps CLEARLY. (C_ R 2x – 4 f(x) = x + 3

A: Here we have to graph the given function.  We have,

Q: Follow the seven steps stategy to graph the rational function: f(x) = (x-4)/(x2-x - 6)

A: Given: f(x)=(x-4)x2-x-6 We have to follow the seven steps strategy to graph the given rational…

Q: 2x 1. f(x) = (x-1)

A: Given that, the function is fx=2xx-1. Note that, the function is defined for all values of x except…

Q: Use the graph of the rational function to complete the following statement. As x - -4", f(x) →

A:

Q: 8- For the function x'+4x2+ax-4, the remainder when divided by (x+2) is twice the reminder when…

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Q: Sketch the graph of each rational function by hand. 10아 I. 4x-6 1. f(x)3= %3D 2x +5 8 6 2 6. 8 10 2.…

A: To draw the graph of given rational function

Q: 4₁ An online company lets you download songs for $0.99 each after you have paid a $5 membership fee.…

A: 4. An online company lets you download songs for $0.99 each after you have paid a $5 membership fee.…

Q: Use the graph of the rational function to complete the following statement. As x→4, f(x) →

A: Here we have to use the graph of the rational function to complete the following statement. As x→4-,…

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

A: Given a graph of rational function f(x).

Q: Write an equation that defines a rational function with a vertical asymptote at x=3 and a…

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Q: (d) Plot additional solution points as needed to sketch the graph of the rational function.

A: Given function is as below :

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 = -3 and x = -2 x…

A:

Q: 9. Which of the following is the graph of the rational function? X +5x-12 y=ーマ-25

A: We want to check whether the given function is rational or not.

Q: Create and graph your own example of a RATIONAL FUNCTION that is considered to be under, the degree…

A: Here we have to Create and graph a RATIONAL FUNCTION the degree of the numerator and denominator are…

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

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Q: Follow the seven steps stategy to graph the rational function: f(x) = 2x/(x2 - 4)

A: Rational function: f(x)=2xx2-4 1. At first we need to draw the graph x2. 2.Next we will draw 1x2 3.…

Q: (a) Write an equation for a rational function f whose graph is same as the graph of y=1/x shifted to…

A: Part (a) Express the general equation for the horizontal and vertical shifts of the graph of the…

Q: Use the graph of the rational function to complete the following statement. As x - 0o, f(x)→ As x →…

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Q: Sketch the graphs of the rational functions y = x3 + 2/2x

A: we have to sketch of the rational function y=x3+22x

Q: Sketch the graphs of the rational functions y = x2 - 4/x2 - 3

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Q: Follow the seven steps stategy to graph the rational function: f(x) =2/(x2 +x- 2)

A: Given, f(x)=2(x2+x-2)

Q: Use the graph of the rational function to complete the following Ay 10- statement. 8- As x → 1, f(x)…

A: To answer the given question, we carefully read the graphs and then answer the question.

Q: Describe the steps you would take to graph rational function.

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Q: Use the graph of the rational function to complete the following statement. As x → 4, f(x) → As x -…

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Q: What is the graph of a parent function for a rational function? A. В. C. D.

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