What is a rational function?

Q: What is a rational function? Provide an example.

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

A: Consider Vertical asymptotes at x = -5 and x = 2

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

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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: Explain why both f(x) = x 3 + 1 and g(x) = 1/(x3 +1) are rational functions

A: Rational function is the function which is an algebraic fraction such that numerator and denominator…

Q: Define the Rational Functions?

A: If a function is of the form R(x)=p(x)/q(x) Where p(x) and q(x) are polynomials. Then R(x) is a…

Q: Where are the vertical asymptotes of a rational function located?

A: Given, Where are the vertical asymptotes of a rational function located

Q: Describe the process by which we determine limits of rational functions?

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Q: It is possible to have a rational function whose graph has no y-intercept.Determine whether the…

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Q: What is the domain of a rational function?

A: Given: What is the domain of a rational function?

Q: Sketch the graph of the rational function. 2x f(x) x-2x-3 = .2

A: Given query is to sketch the graph of function f(x)

Q: What is meant by Rational function in reference to algebra?

A: When a function is in the form f(x)= p(x)/ q(x) where p(x) and q(x) are polynomials , then the…

Q: Find the domain of the rational function.

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Q: Write an equation for a rational function with: vertical asymptotes at x=1 and x=-5 x intercepts…

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Q: how do rational function apply in real life? give at least one situation.

A: We need to explain how rational function applies in real life and give example.

Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 1…

A: Given query is to find the rational function with given characteristics.

Q: domain

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Q: What are the two functions used to form the rational function?

A: Solution is here

Q: Describe the points (if any) at which a rational function fails to becontinuous.

A: Given: The function is rational. Concept used: If the value of function at any point is not defined…

Q: Write an equation for a rational function with: Vertical asymptotes at x= 3 and x= -5 x intercepts…

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

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Q: Write the equation of a rational function that has a hole at x=−5 and a vertical asymptote at x = 1.

A: We have given a rational function with Hole at x = -5 Vertical asymptote at x = 1 As if function…

Q: Give an example of a rational function that has a slant asymptote of y=x

A: We have to find an example of a rational function that has a slant asymptote of y=x

Q: Determine whether  the following statement is true or false, and explain why. Every rational…

A: Given statement, Every rational function has either a vertical or a horizontal asymptote - false

Q: Can the graph of a rational function have both a horizontal and an oblique asymptote? Explain.

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

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -5 x intercepts…

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Q: Find a possible equation for the rational function given

A: as we can see from the graph, here vertical asymptotes are x=-1 and x=2  so the denominator is given…

Q: What are the Rational Functions?

A: Rational functions are the functions which can be written in the form of P(x)Q(x) where P(x) and…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x = 6 x-intercepts…

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

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Q: Describe the Rational Functions?

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Q: Write a rational function with no vertical asymptotes and no holes. Explain.

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Q: fcx)= 4x2-x+1 X+7

A: Please refer the attached image for complete solution. THANK YOU.

Q: How do you find vertical asymptotes of rational functions?

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Q: A horizontal line that the graph of a rational function approaches at the far left or the far right…

A: Answer :                  horizontal asymptote                                            A…

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

A: Given the function y = (x2)/(2x- 4). We need to plot the graph for the above function.

Q: Can you please help me to write an equation for this rational function in the form f(x) included on…

A: Can you identify features like intercepts and asymptotes.

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

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: we have to determine whether the statement is true or false. If it is false, explain why or give an…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = -5

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

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Q: Write your own rational function that has a hole, but does not have a vertical asymptote. Make sure…

A: Given day of birth=28 We know that rational function is of the form p(x)/q(x)

Q: Write an equation for a rational function with: Vertical asymptotes at æ = 1 and æ = 2 x intercepts…

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

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

Q: 6. Give the equation of the rational function plotted below. 5- -5- LO

A: If the graph of a function intersects the x-axis at x=c, then (x-c) is a factor of the function. If…

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

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -3 x…

A: Given :  Vertical Asymptotes x= 5 and x=-3 x intercept at the point (6,0) and (-1,0) y intercept at…

Q: Give an example of a rational function.

A: Rational function : A fraction which has the property that both its numerator and denominator are…