-2(x+1)(x+4) (x+2)°(x-3) -(x+1)(x+4)² 2(x-2) (x+3) -2(x-1)(x-4) (x-2)° (x+3) A) R(x) =: B) R(x) =: C) R(x)=2x-3)(x+2)² (x+4)°(x+1) D) R(x) = %3D

Q: Given the rational function 2x2 – 4x r(x)= x-x-6 (a) Find all intercepts and asymptotes of r. (b)…

A: Given: r(x)=2x2-4xx2-x-6

Q: 2x+8x Graph the rational function h (x) = x²- 6x+8 www 12+ 10 9. -12-10 -2 10 -6 -4 -2 -4 -8-…

A:

Q: Determine the equation of a rational function with vertical asymptotes at x = - horizontal asymptote…

A:

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 16x f(x) = 6x +1 .....…

A:

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

A:

Q: Determine the equation of an appropriate rational function given the following information about the…

A:

Q: Find a possible formula for the function graphed below. The x-intercepts are marked with points…

A:

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x…

A:

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 17x3 h(x) = 3x2 +4…

A:

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

A:

Q: Finding the equation of a rational function that has a vertical asymptote of x=2 and a horizontal…

A: Given that the function has a vertical asymptote at x = 3. Thus the denominator of the the given…

Q: Find a rational function that satisfies the given conditions. Which rational function satisfies the…

A:

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

A:

Q: Sketch a graph that has the following characteristics: 1) It must be rational function. 2) It must…

A:

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

A: Solution: Given data, Vertical asymptotes at x=-2 and x=4 So the denominator of the rational…

Q: Find all vertical and horizontal asymptotes of the rational function. 9x3 f(x) = x2 + 8x +15…

A:

Q: Find the equation and sketch the graph of a rational function that passes through​ (0,0) and…

A: Given,         The graph of a rational function that passes through​ (0,0) and (5,10/9) ​, has the​…

Q: 22. Find the equation of a rational function that could have the graph shown. Take into account…

A: 22. To Find: The equation of a rational function that could have the graph given. Also we have to…

Q: 5 - x For the rational function f(x) find the points %3D x² + 5x +6 on the graph at the function…

A: Given f(x) = 5-xx2+5x+6 we find thePoints on the graph at the function valuef(x) = 3

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 17x h(x) = - 3x +2…

A:

Q: Find the equation of the slant asymptote of the rational function. 273 - 4x2 + 7x – 6 f(z) = 2x2 – 5…

A: Using formula of slant asymptote.

Q: 1. Create an equation for a rational function, f(x) in factored form that satisfies the following…

A:

Q: Let r(x)=p(x)/q(x) be the rational function graphed below, where p and q are polynomials that have…

A: First of all, consider the given condition for the rational function r (x). There are no common…

Q: Find the equation of the slant asymptote of the rational function. 2a - 622 + 7z – 12 2a - 5 f(2)…

A:

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

A:

Q: Determine the equation of a rational function that has a vertical asymptote at x = and a horizontal…

A:

Q: Write the equation of a rational function f(x) = p(x)/q(x) having the indicated properties, in which…

A: Given: Vertical asymptote : x = 1, Slant asymptotes whose equation is, y = x, y - intercept: y = 2,…

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

A: Find the rational function f(x) from the given conditions.

Q: Find all vertical asymptotes of the rational function.

A:

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 18x? g(x) = 9x +8…

A: To find The horizontal asymptote of g(x)

Q: 8. Graph the rational function. horizontal asymptotes. 3x-12 a. r(x)= x+1 Show clearly all x- and…

A: Graphs are to be drawn first and then asymptotes and intercepts need to be marked.

Q: Graph the rational function f(x) = i+2 To graph the function, draw the horizontal and vertical…

A: The given rational function is: f(x)=-2x+2

Q: Find the equation and sketch the graph of a rational function that passes through​ (0,0) and…

A: Given  The rational function that passes through​ (0,0) and (5,20/21)​,the horizontal​ asymptote is…

Q: Write the equation of a rational function f(x) = p(x)/q(x) having the indicated properties, in which…

A: Rational function f has a vertical asymptote given by x=3, a horizontal asymptote y=0, y-intercept…

Q: Find the equation of the slant asymptote of the rational function. 22 - 4z² + 7z – 8 F(z) = 2z2 - 5…

A:

Q: 8. How do you determine whether a rational function has a horizontal asymptote?

A:

Q: Write a rational function that has x=-2 as its only vertical asymptote, a hole on the line x=2 and a…

A:

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

A:

Q: The graph of a rational function is given. y - -3 1 2 -2 (a) Specify the domain of the function. O…

A: The graph of a rational function. We have to answer the following...

Q: Determine a rational function that meets the given conditions, and sketch its graph. The function h…

A: Given: The function h has vertical asymptotes at x=−7 and x=6​, a horizontal asymptote at y=0, and…

Q: Write an equation for a rational function with: Vertical asymptotes of x = 6 and x = 3 x intercepts…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x = -6 %3D…

A:

Q: Find an equation for rational function if Vertical asymptotes are at x=9 and x=6, x-intercept is at…

A:

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: = 1 f(x)= = 2 Graph the rational function. kt x-4x+4 x-5x -14 -12. -10 = 3 Continue -6 4. 444 Start…

A: The objective is to draw the graph.

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

A: Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of…

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 11x h(x) = 5x2 +4…

A:

Q: Give a possible formula for a rational function with vertical asymptotes x = 1 and r = -1,…

A:

Q: 1. For the rational function g(x)= x'+7x+12 r+x-6 (a) Explain why x=2 is a vertical asymptote. (b)…

A: Explanation of the answer is as follows