Find the following for the given rational function: x+6 r'-x-6 2 f(x)= Vertical Asymptote: Horizontal Asymptote: X-intercept Y-intercept

Q: We have determined that there are two points where the slope of the tangent line is equal to 0. One…

A: We have given the function f(x)= x/x2+36

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

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6…

A: We have to find a rational function with vertical asymptotes at x =-1 , x= -6,   x-intercepts at…

Q: Formulate the rational function given the following characteristics: Vertical asymptote x= 7…

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

A:

Q: Make a sign diagram for the derivative of the rational function. 7x f(x) x2 !! 16 -Select- v…

A:

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

A:

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

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = 1 x intercepts…

A:

Q: ах + b Write a rational function in the form of f(x)= that has a zero at x=-1, a vertical asymptote…

A:

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

A: THe required rational function is of the form rx=a pxqx. Given that it has vertical asymptotes at…

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

A: Given,  (1) Vertical asymptotes at x = 3 and x = -3 Then, (x-3) and (x+3) (2) x intercepts at x = -5…

Q: Find a formula for a rational function that has a vertical asymptote atx = 3 and a horizontal…

A:

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 = 4 and x= -6 x intercepts…

A:

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

A:

Q: x-1 f (x) = -2 y=0 y=1 y=1/2 No horizontal asymptote

A: If the degree of the denominator is bigger than the degree of the numerator, the horizontal…

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: If the rational function y = r(x) has the horizontal asymptote y = 1, then y as x

A: Given, rational function is y=r(x) has horizontal asymptote at y=1.

Q: Match the graph with the correct rational function. 5-4-3-2-1 1 2 3 45 Oy =- ++2 O y = --2 Oy = +3…

A: We can draw these equation to find our graph and to get the answer.

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

A:

Q: If the rational function y = r(x) has the vertical asymptote x = 9, then as x → 9+, either y →…

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 = -6 and x = 5 x intercepts…

A: Explanation of the answer is as follows

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

A:

Q: The following question is about the rational function r(x) =  (x + 1)(x − 2) (x + 2)(x − 9)…

A:

Q: If the rational function

A: Vertical asymptote: x = a is a vertical asymptote of y = f(x) if at x = a function is not defined.

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

A:

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

A: Given that the vertical asymptotes of the rational function are x=2 and x=5. Since the vertical…

Q: Determine an equation for a rational function with a horizontal asymptote at y = 2,  vertical…

A: We have to determine an equation for a rational function with a horizontal asymptote at y= 2,…

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

A: It is given that, the vertical asymptote of the function is x=2 and the horizontal asymptote of the…

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 with: Vertical asymptotes at x = 2 and x = -1 x-intercepts…

A: Given, Vertical asymptotes at x=2 and x=-1 x-intercepts at x=-5 and x=4 Horizontal asymptote at y=3…

Q: If the rational function y = r(x) has the horizontal asymptote y = 5, then y → as x → to.

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = 2 x…

A: Given thatVertical asymptotes at x = 6 and x = 2denominator will be (x-6)(x-2)Horizontal asymptote…

Q: If the rational function y = r(x) has the horizontal asymptote y = 4, then y →as x→±∞.

A: Given If the rational function y = r(x) has the horizontal asymptote  y = 4

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

A:

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

A: By using given information we find the required rational function as follows

Q: find the x- and y-interceptsofthe rational function. (if an answer does not exist, enter DNE.)…

A:

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: If the rational function y = r(x) has the vertical asymptote x = 2, then as x → 2+, either y →…

A:

Q: Write a possible formula for a rational function, f(x), with zeros at x=-6, x=2, vertical asymptotes…

A: To Determine: write a possible formula for a rational function f(x) with zeros at x=-6 ,x=2…

Q: tional functio

A: Function: Let the function be f(x) Whose vertical asymptotes at x=-1 and x=5  x intercepts at x=-2…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = 1 x-intercepts…

A: We will find the function.

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

A:

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

A: