P(#) Question 4: When working with rational functions of the form f (x) = and the function does indeed have removable discontinuities (holes) can you see them on the graph when you plot it on your calculator or Desmos graphing program? If you divide out the common factors does the shape of the graph of f (x) change? why or why not?

Q: 3. Here is a graph of q(x). Is this function even, odd, or neither? A. Even B. Odd A. C. Neither…

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Q: The graph of a function fis formed by vertically stretching the graph of y = √x by a factor of 2,…

A: WSe have to apply the given transformation on the graph

Q: Use properties of functions to match each of the following functions with its graph. Do not use your…

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Q: True or False: A rational function must always have an x-intercept.

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Q: 1. f(x) = X+X+1 X-1

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Q: Find an equation for the graph sketched below -54-32 f(x) = 8 7- 65 4321 Mo P -5 -6- 629 34

A: Given graph is passing through the points:  x y -1 -3 0 -1 -2 -8

Q: Which of the properties is associated with the graph of the function shown below? f(x)=-22(x+3)+ 5…

A: Given f(x)=-22x+3+5

Q: If f(x) is a function with a known graph, then the graph of g(x) = f () +2 consists of taking the…

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Q: Part 2. Simplify the following Case 2 Rational Function to a single fraction: 2 - X g(x) = - 3 1 - X…

A: Horizontal Asymptote: y=2/-1​=−2Therefore, the equation of the horizontal asymptote is y=−2. Below…

Q: Consider the function f(x) = x4 − 4x3 + 10. Your goal is to graph this function without the use of a…

A: Given, fx=x4-4x3+10

Q: A farmer wants to build a rectangular pen which will be bounded on one side by a river and on the…

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Q: 4. Explain how to graph a simple rational functions, such as f(x) 1 g(x) = and range. quadratic…

A: The given rational functions fx=1linear function and gx=1quadratic function. We have to explain how…