Graph the rational function. Lable all y-intercepts, x-intercepts, vertical asymptotes, and horizontal asymptotes on the graph, and the x values of any pinholes.  y=(x+4)(x-2)/(x+3)(x+1)

Q: Graph the rational function. 3x-12x+4 f(x) = x-2 Start by drawing the asymptotes. Then plot two…

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

A: Solution:Givens(x)=2x-4x2+x-2

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

A: Given: The rational function r(x)=2x2+2x-4x2+x

Q: Graph all vertical and horizontal asymptotes of the rational function. - 6 f(x)=2x-7 -5-

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Q: Graph the rational function. -5x-15 f(x)= x²+2x-15 Start by drawing the vertical and horizontal…

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Q: Find the domain, intercepts and asymptotes of the rational function. 20. f(x) =; x+2 %3D 3x-6

A: Solution: Consider the given rational function is: f(x) = x +23x -6 Domain: The domain of the…

Q: Graph the rational function. -6 f(x) = x-6 Start by drawing the vertical and horizontal asymptotes.…

A: Given,           The rational function is fx=-6x-6 .

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

A: r(x)=5x2+5x2+4x+4

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

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Q: Graph the rational function f, and determine all vertical asymptotes from your graph. The graph f…

A: Graph the function using graphing calculator. Then all things can be find out. Vertical asymptotes…

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: Find the slant asymptote, if any, of the graph of the rational function. x2 - 9x +9 20) f(x) %3D X+8

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

A: Given: function Property of Horizontal asymptote, Consider the function be, If both the function…

Q: Find the rational function if the vertical asymptotes are x=−9/8 and x=8/2 and the horizontal…

A: Given: Vertical Asymptotes: x=-98, x=82Horizontal Asymptotes: y=-416x-intercepts: x=84, and x=-2 To…

Q: Graph the rational functions in Exercise. Include the graphsand equations of the asymptotes.

A: Given: Graph the rational functions in Exercise. Include the graphs and equations of the…

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

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Q: Find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant…

A: The given function is g(x)=4x2-16x+162x-3 To find vertical asymptote, set the denominator equal to…

Q: Find the horizontal asymptote, -7x+4 f(x) = %3D 5x +2

A: Please refer the attached image for complete solution.

Q: Graph the rational function using the minimum of 5 points. Draw the asymptotes as dashed lines. f(x)…

A: To graph the rational function.

Q: Graph the rational function. = (x)/ -x+2 9–x %3D Start by drawing the vertical and horizontal…

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

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

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

A: This is a problem related to graph function. Based on the general formula and concept we will answer…

Q: Graph the rational function f, and determine all vertical asymptotes from your graph. The graph f…

A: Given function is f(x)=-x3+6x2-5x2-2x

Q: Graph the rational function. 3x-3 f(x) = -x+2 Start by drawing the vertical and horizontal…

A: Let's find.

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

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Q: Find the horizontal asymptote, if any, of the graph of the rational function. -4x + 7 g (x) = 4x +1

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Q: Graph the rational function, and find all vertical asymptotes, x- and y-intercepts, and local…

A: Given:     y=2x2-5x2x+7   To find a polynomial that has same end behavior as the rational function ,…

Q: Graph the rational function, f(x) *3* Determine the intercepts, asymptotes, and behavior near the…

A: Asymtotes of the rational function

Q: Graph the rational function. f(x) = -2x-1 Start by drawing the vertical and horizontal asymptotes.…

A: Given that, the function is fx=3-2x-1. Note that, The degree of numerator is less than degree of…

Q: Find the rational function if the vertical asymptotes are x=−98x=−98 and x=82x=82 and the…

A: Given query is to find the missing function.

Q: Graph the rational function. Lable all y-intercepts, x-intercepts, vertical asymptotes, and…

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Q: Graph all asymptotes of the rational function. 4x+ 2x-7 f (x) = 2x+ 3

A: f(x)=4x2+2x-72x+3vertical assymptotes:Denominator =02x+3=0⇒2x=-3x=-32Horizontal assymptotesNot…

Q: 3. Graph the rational function f(x) = -4x-8 To graph the function, draw the horizontal and vertical…

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Q: Graph all vertical and horizontal asymptotes of the rational function. 3x+9x-12 f(x) = -x²- 3x-2 %3D

A: For vertical asymptote, we need to solve the denominator for x by equating it to zero.   Given;…

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

A: Given rational function is fx=x3+27x+4. To find the x-intercept and y-intercept, asymptotes and draw…

Q: Graph the rational function. Lable all y-intercepts, x-intercepts, vertical asymptotes, and…

A: Here, the given rational function is: y=-2(x+5)(x-1)(x+1)2...(1)

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: Graph the rational function f, and determine all vertical asymptotes from your graph. The graph f…

A: To draw the graph , first draw the x and y axes . Then label x for x-axis and y for y-axis . Choose…

Q: Graph the rational function f(x) = -4x -8 To graph the function, draw the horizontal and vertical…

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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. f(x) =2x+5 -x+2 Start by drawing the vertical and horizontal…

A: From the given problem: fx=-2x+5-x+2 As we know that; To calculate vertical asymptote, equate the…

Q: Graph the rational function. f(x)=−4x^2−12x − 6/ 6x + 9   Start by drawing the asymptotes. Then…

A: We draw the graph of rational function.

Q: Graph the rational function. --7x f(x) = %3D x+x-20 Start by drawing the vertical and horizontal…

A: To draw: The vertical and horizontal asymptotes and also the intercepts of the function. Given…

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