find the intercepts and asymptotes of the rational function then sketch the graph of 3x^2-12x+13/x^2-4x+4

Q: The graph of a rational function can have three verticalasymptotes.Determine whether the statement…

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Q: Write the equation of a rational function given its graph

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Q: write a rational function that has a removable drscontinuity on its graph ax X = 3.

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Q: Given the two functions, explain how the characteristics (Zeros, Vertical Asymptotes, Horizontal…

A: for vertical asymptotes, put denominator=0 and for zeroes, put y=0

Q: Write a few paragraphs that provide a general strategyfor graphing a rational function. Be sure to…

A: Mention the following: proper, improper, intercepts, and asymptotes.

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: The graph of a rational function cannot have both ahorizontal and an oblique asymptote. Explain why.

A: Query- The graph of a rational function cannot have both a horizontal and an oblique asymptote.…

Q: If you are given the equation of a rational function, explain how to find the horizontal asymptote,…

A: The method to find horizontal  asymptote depends on the degree of the polynomial in the numerator…

Q: Do I have to factor to identify a rational function’s possible horizontal asymptote?

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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: 15 -5 -4 -2 -3 -4 3,

A: We have to determine the vertical asymptotes of f.

Q: find the slant asymptote of the function  f(x)= 48x^2+8x/2x+1 y=

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Q: Find the exact location of all relative and absolute extrema of the function f(x)= 8x² +48x +9 with…

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Q: Graph the rational function. -4 ---2

A: To find the vertical asymptote we set the denominator equal to 0 and solve for x -x-2=0 x=-2   Since…

Q: What are the cut points of a rational function? Explain how to solve a rational inequality.

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: The graph of a rational function can never cross a vertical asymptote.Determine whether the…

A: It is known that the vertical asymptotes are obtained by solving the denominator. That is, the…

Q: f (x) = x' – 9x² +15x+4

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Q: What is the equation for the given graph of the rational function in the picture? Please explain how…

A: To find: Rational function for the graph Vertical Asymptotes are the zeroes of the denominator That…

Q: We exclude from a function’s domain real numbers that cause division by .-------------

A: Given a function’s domain real numbers that cause division by .-------------

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Since the graph is of a parabola so the function must be a quadratic.

Q: How can we analyze the graphs of functions having horizontal or vertical asymptotes?

A: Check for when we have vertical and horizontal asymptote

Q: 10- 5- -10 -5 5. 10 -5- -10-

A: Equation of a rational function is fx=aND From the given graph we see that vertical asymptote is the…

Q: Identify the rational function from the graph

A: Given that: Graph of r(x) as shown.

Q: If you are given the equation of a rational function, explain how to determine its domain.

A: The domain of a function is the set of all the values that can be given as an input to the function.…

Q: Use the graph to determine the equation of the vertical asymptote: -5 4 --2 -1 I 2 3 4 5 -2 - -3- -4

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Q: Create 4th degree polynomial function whose graph never crosses the x-axis

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Q: Sketch the graph of the rational function, using the steps outlined in section 2 of chapter 4 x² - x…

A: Sketch the graph of rational function.

Q: Determine the equation of the radical function represented by the graph. +

A: The given graph as

Q: Give an example of a rational function that doesn't have a vertical asymptote.

A: It is required to give an example of rational function that doesn't have a vertical asymptote.

Q: is the point (3,-5) on the graph of function f(x)=3/2x-8? yes, no, impossible to determine

A: To decide if the given point lies on the graph: in other words, does the point satisfy the given…

Q: What happens when the denominator of a rational function is zero at some x-value within the viewing…

A: Let consider the rational number, f(x)=h(x)g(x) Where h(x) is numerator and g(x) is denominator.

Q: Find a function that has vertical asymptotes at x=4 and x=-2. X-intercepts at (1,0) and (-1,0) and a…

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Q: Write an equation that defines a rational function with a vertical asymptote at x = 1 and a…

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

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Q: Find a function whose graph is a parabola with vertex (2,3) and that passes through the point (3,6).

A: To determine the function.

Q: Determine a window which gives a complete graph of the polynomial function.

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Q: Describe how to graph a rational function.

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Q: Describe how to integrate a rational function with a numerator and denominator of the same degree

A: To integrate a rational function with same degree numerator and denominator, we use the Method of…

Q: graph

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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 that defines a rational function with a vertical asymptote at x = -2 and a…

A: Horizontal asymptote is where y is zero  Vertical asymptote where denominator is zero

Q: The graph of a rational function cannot have both a vertical asymptote and a horizontal…

A: Let  a rational function be: fx=axn+⋯bxm+⋯ Graph will have vertical asymptote where its denominator…

Q: Write the equation of a rational function whose graph has all of the following features. Intercepts…

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

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Q: find a function whose graph is a parabola with vertex (1, -2) and that passes through the point…

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Q: Find the x and y intercepts ,the domain,the vertical and horizontal asymptotes and then sketch the…

A: To find the x-intercepts we plug y=0 and solve for x So, x-intercept is = (-1,0) For y-intercept,…

Q: Find a function f whose graph is a parabola with vertex (2, 4) and that passes through the point…

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Q: Give an example of a rational function.

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

Q: A rectangular plot of land will be fenced into three equal portions by two dividing fences parallel…

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