Part 1: Given a rational function, graph it and identify ALL key characteristics. 1. y = 2. у‑ 3x-6 1. Zeros 2. Vertical Asymptotes 3. Horizontal Asymptotes 4. Holes 5. Slant Asymptotes For each of the above characteristics (1-4) from part a, explain how the characteristic of the graph can be predicted using the algebraic form. You should write at least one separate sentence for each characteristic. If your graph/function did not have that characteristic, explain why.

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = -4 x-intercepts…

A:

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

A: Given that: Vertical Asymptote: x=-1; x = 1 X-intercepts: x=4; x=5 Horizontal Asymptote: y = 5 To…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = 2 x intercepts…

A: Let rational function  y =k( NxDx) D(x) = 0 gives vertical asymptotes  x = 4 and x= 2 are vertical…

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

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: Vertical asymptotes at x = -6 and x = -5 x…

A: Vertical asymptote where f(x) tends towards infinity i.e denominator tends towards zero  Horizontal…

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

A:

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

A: Given:  Vertical asymptotes at x=-6 & x=-3x intercept at x=5 & x=6 Horizontal asymptote at…

Q: 3. The graph of a rational function never intersects a asymptote.

A: To Determine: the graph of a rational function never intersects a ? asymptotes. Given: we have a…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = 4…

A:

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

A:

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

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -4 x-intercepts…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = 3 x…

A: Given: Vertical asymptotes at x = 4 and x = 3 and x-intercepts at x = -5 and x = -4 and Horizontal…

Q: If the graph of a rational function R has the horizontalasymptote y = 2, the degree of the numerator…

A: Answer :   Equal           A rational function will have a horizontal asymptote when the degree…

Q: 16. Construct an equation of a rational function whose graph has a hole at the coordinates (-2, 0),…

A: Given, x=1, x=-3, y=-5 are vertical and horizonatal asymptote. vertical asymtote is the denominator…

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

A:

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

A: The roots of a function are the values of the variable at which the value of the function is…

Q: Sketch a graph of the function y = 1/3x^3 + 2x^2 + 3x How can we find the horizontal and vertical…

A:

Q: Do the following: 1) Sketch a rough graph of a rational function that has ONE vertical asymptote;…

A:

Q: 8. Create a function that has vertical asymptotes x =-2, x=5 and a horizontal asymptote y=D3

A:

Q: 3 What is the equation of the vertical asymptote of Ax): 10x+ 2 ? O a) x- O b) x--s c) y = O d) y-

A: Given function is  f(x) = 3/(10x+2)  Find vertical Asymptotes.

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

A:

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

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 4 x intercepts…

A:

Q: Sketch a graph that has a vertical asymptote at x=2 and a horizontal asymptote of y=1, and identify…

A: Given that, the graph has a vertical asymptote at x=2. The vertical asymptote occurs where the…

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

A:

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

A:

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

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x -6 and x = -4 x intercepts…

A: From the given information, it is observed that the vertical asymptotes are at x = -6 and x = -4.…

Q: Graph the rational function f(x) %3D To graph the function, draw the horizontal and vertical…

A: Given query is to graph the function.

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

A: This question is related to rational functions, We will solve it using given information.

Q: Write an equation for a rational function whose graph ha • vertical asymptote with equation x-3 •…

A: Introduction: Rational functions are those in which the denominator polynomial is not equal to zero…

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

A:

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

A:

Q: write an equation for a rational function with  Vertical asymptotes at x=-3 and x=4 X intercepts…

A:

Q: Mar 11, 7:29:11 PM Plot all of the existing five features of the following rational function (some…

A:

Q: Graph the following rational function. – x + 1 f(x) = x² – 49 Step 2 of 3: Plot the horizontal…

A:

Q: Write the equation of a rational function that has vertical asymptotes at x= -3 and x= 6, x…

A:

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

A:

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

A: here vertical asymptotes are x=-6 and x=3 so the denominator is  x+6x-3

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

A:

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

A: To find the equation for the rational function

Q: Graph all vertical and horizontal asymptotes of the rational function. 11 S4)= -2x+4x-2 田

A:

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

A: The rational function is of the form y=rx-ax-bx-cx-d.

Q: 7) Write an equation for a rational function with the given characteristics vertical asymptotes at x…

A: Rational function with given characteristics

Q: 5. Explain why the graph of the equation below has no vertical asymptote: f(x) x2 + 1

A: Givenf(x)=1x2+1