Graph the rational functions. Include the graphsand equations of the asymptotes. y = x2 + 1/x - 1

Q: Find the vertical asymptotes, if any, of the graph of the rational function: h(x) = (x + 3) / (x2 +…

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Q: Find the horizontal asymptote, if there is one, of the graph of the rational function. 15x? g(x) =…

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Q: Find equations for the horizontal asymptotes, if any, for the following rational function. f (x) =…

A: To find the equations for the horizontal asymptotes, if any, for the following function fx=5x-9

Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: Given function is r(x)=x2-2x+1x2+2x+1 For x-intercept, we plug y=0…

Q: Graph the rational functions . Include the graphs and equations of the asymptotes and dominant…

A: 65) Consider the function and draw the graph.

Q: 10. A rational function has a slant asymptote when

A: We need to tell when will a rational function have a slant asymptote.

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

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Q: To get a rational function that is never zero we would need to have a polynomial in the numerator…

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Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: Consider the given function. rx=x2+2x+32x2+4x+2 To, find the x-intercepts, put y=0 in the function.…

Q: 3x+24 Find the intercepts and asymptotes of the rational function r(x)= -2x+4

A: The given rational function is                               rx=3x+24-2x+4 x-intercept is the value…

Q: - 3x – 12x Graph the rational function f (x) = 2 x+5x+4

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Q: Graph the rational functions . Include the graphs and equations of the asymptotes. 1.y=x2/(x-1) 2.…

A: Given that the rational function, To calculate the equation of asymptotic. For a rational function,…

Q: 12. Write the equations of the vertical and horizontal asymptotes of the rational function. DO NOT…

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Q: Graph the rational functions Include the graphs andequations of the asymptotes and dominant terms. y…

A: Given a function,  y=1x-1 To find the equation of asymptotes and dominant terms by using the graph…

Q: BỊ Graph the given rational function by tinding any symmetry, intercepts, asymptotes, and any…

A: Given a function r(x)=2x2x2+4x-12 Let r(x)=y=2x2x2+4x-12 To find symmetry, intercepts, asymptotes of…

Q: 15. Graph the rational function )- T- a.

A: Check asymptote, intercept,extrema then make graph

Q: Graph the rational functions. Include the graphsand equations of the asymptotes. y = x3 + 1/x2

A: Given, The graph of the rational function y =x3+1x2

Q: -x + 4x+3 2 f(x) = x-3

A: Given:      fx=-x2+4x+3x-3

Q: The slant asymptote of the rational function y aribis paases through the origin, (0,0).

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Q: Graph the rational function. Show clearly all x- and y-intercepts and asymptotes, and state the…

A: To draw the graph of the function, rx=3x-12x+1 First, find out the x and y-intercept of the…

Q: Graph the rational functions and equations of the asymptotes. Include the graphs x? + 1 y = x - 1

A: Points that lie on the curve help to graph the function. Substitution of some arbitrary values of x…

Q: Graph the rational functions. Include the graphs and equations of the asymptotes and dominant terms.…

A: Given function is y=12x+4 vertical asymptote is obtained by setting denominator equal to zero. So…

Q: -3 -8- -

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Q: find the intercepts and asymptotes of the rational function then sketch the graph of…

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Q: Graph the rational function. 2x +8x+4 f(x) =- x+1 Start by drawing the asymptotes. Then plot two…

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Q: State the vertical asymptotes of f | x2 –4x–12° Ox= -6, x = 2 O x = -6, x = -2 Ox = 6, x = 2 ) x =…

A: Given that the function fx=1x2-4x-12. We have to find its vertical asymptotes. Vertical asymptote:…

Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: To find the x-intercepts, substitute t(x) with 0 in t(x)=x3-x2x3-3x-2 and factor x3-x2=0 to get…

Q: er ... -a-3x + 6 BỊ Graph the given rational function by findng any symmetry, intercepts,…

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Q: Find the common factors of the numerator and denominator of the rational function. Then find the…

A: r(x)=x2+5x-14x-2

Q: For what interval(s) is the graph of the rational function negative? +4 - 0 4 a) x > 1 ) b) x 1 c)…

A: Here we have to find the interval in which the grah of the rational function negative.

Q: Find equations for the horizontal asymptotes, if any, for the following rational function. ?(?) =…

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Q: -2x+6 Graph the rational function h (x) = x-4x+3

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Q: Consider the following rational function 2x +5x +3 R(x)=- 4x2-9x-9 Analyze R(x) by answering the…

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Q: Sketch the graph the rational function, including all asymptotes. 4x 20) f(x) 20) (x + 1)(x - 2) ++…

A: The graph of the function is shown in the figure below with 3 asymptotes x=-1, x=2 and y=0

Q: Graph the rational functions Include the graphs andequations of the asymptotes and dominant terms. y…

A: Given information: The rational function is y=2xx+1. Graph: Find the asymptote of the function. The…

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: Graph the rational functions. Include the graphsand equations of the asymptotes. y = x2 - 4/x - 1

A: y=x2-4x-1 Now vertical asymptotes are the values of x for which denominator is zero. That is,…

Q: 7. Find the slant asymptote of the following rational function. (S_ 2x2 – 5x + 7 f(x) = x - 2

A: given,

Q: Identify all the asymptotes then graph the rational functions: f(x) = 4x2 2x -1

A: Asymptotes is x = 1/2

Q: Graph the rational functions. Include the graphsand equations of the asymptotes. y = x2 - 1/2x + 4

A: Consider the rational function y=x2-12x+4. Write the function in the form of pxq(x), here px and qx…

Q: Find the equation of the rational function that passes through (4,1), has the x-axis as a horizontal…

A: Horizontal asymptote of a curve is the line such that the distance between the line and the curve…

Q: Graph the rational functions . Include the graphs and equations of the asymptotes. 1.y=(x2+1)/(x-1)…

A: 1) Consider the function and draw the graph.

Q: f(x) %3D х—4 x +2 X X

A: fx=x-4x+2

Q: х+2 2х - 3 f(x) = X

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: find all vertical and horizontal asymptotes (if any) of the rational function…

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Q: Graph the rational function. Show clearly all x- and y-intercepts and asymptotes, and state the…

A: Given function is rx=x2-92x2+1

Q: Graph the rational function. 4x-6 S) - x+2 Start by drawing the vertical and horizontal asymptotes.…

A: Consider the  given function as fx=4x-6-x+2

Q: Graph the rational function. State and draw all aymptotes. 2 13) xf(x) = x2 - 1 10- +++> 10 x -10 -5…

A: Explanation of the answer is as follows