describe the behavior near the asymptotes for f(x)=(3x^2-5x-2)/(x^2-9) I'm having issues understanding the behavior of the horizontal asymptote.

Q: What are the three cases we must consider for finding horizontal/slant asymptotes?

A:

Q: Use limits to determine the equations for all horizontal asymptotes.

A: Use the limit  y=x2+99x2+1  =x2(1+9x2)x2(9+1x2)  =1+9x29+1x2

Q: Find all possible oblique asymptotes

A:

Q: What type of functions are used with asymptotes

A: Explanation: There are three types of asymptotes that tells differently about function. vertical…

Q: What is the process for determining the horizontal asymptote of a function from its equation?

A: The method used to find the horizontal asymptote changes depending on how the degrees of the…

Q: Illustrates how can a curve cross one of its horizontal asymptotes many times?

A:

Q: Given the two functions, explain how the characteristics (Zeros, Vertical Asymptotes, Horizontal…

A: for vertical asymptotes, put denominator=0 and for zeroes, put y=0

Q: Use limits to determine the equations for all horizontal asymptote.  y = sqrt(x2+4)/( x)

A:

Q: Define Vertical Asymptotes?

A: Vertical asymptotes

Q: Sketch the function R(x)=(3x4+15x3-39x2+21x)/ ( 4x3-20x2+25x). Show all work for intercepts,…

A:

Q: What is asymptots and how we will solve asymptots?

A: Asymptotes are the lines that curves approaches, as it tends towards infinity. There are different…

Q: What is a horizontal asymptote?

A: Definition of horizontal asymptote:

Q: What does it mean for the graph of a function to have a horizontal asymptote?

A:

Q: find domain and asymptotes of  fx= x^2+x-2 over x^2-2

A:

Q: Estimate the horizontal asymptote of the function   by graphing f  for -10  ≤x ≤ 10. Then calculate…

A:

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A:

Q: What is a vertical asymptote?

A:

Q: Asymptotes: x = 3 and y = -2.

A: Given: Asymptotes are x = 3 and y = -2

Q: (х — 2)(х + 2)(г+ 1) (г + 3)(ӕ + 1)

A:

Q: Explain the concept of an asymptote.

A: To explain: The concept of an asymptote.

Q: Find the limit. Use a graphing utility to verify your result.

A: We need to find the following limit: We will use the following property of limit in this question:…

Q: Use limits to determine the equations for all horizontal asymptote.  y = (1 - x2)/( x2 + 1)

A: To find the horizontal asymptote using limit we find the limit of y when x approaches infinity.…

Q: sketch the graph of the function. Indicate the transition points and asymptotes

A:

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A: The function is y=lnxx. The vertical asymptote occurs at the points where the function becomes…

Q: 2- -2 -2

A: Asymptote : An asymptote is a line that a curve approaches, as it heads towards infinity.   The…

Q: Can the graph of a function cross a horizontal asymptote? Explain.

A:

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A: Given :  The function  y = xx  ,  x>0   To determine :   (a)   Asymptotes of the given function.…

Q: A function can have two different horizontal asymptotes

A: The given statement is TRUE.A function has two different horizontal asymptotes when…

Q: How can we analyze the graphs of functions having horizontal or vertical asymptotes?

A: Check for when we have vertical and horizontal asymptote

Q: The vertical asymptote of the curve 9x3 х — 10 - is given by æ = ||

A:

Q: find all vertical and horizontal asymptotes algerbraically, f(x)=3x^2-x+5/x^2-4

A: . Find all vertical and horizontal asymptotes algebraically, f(x)=3x^2-x+5/x^2-4For calculating the…

Q: Find the horizontal and vertical asymptotes of the curve. 8 + x4 у x²x4

A:

Q: Start by drawing the vertical and horizontal asymptotes. Then plot two poi button

A:

Q: sketch the graph of the function. Indicate the transition points and asymptotes

A:

Q: sketch the graph of the function. Indicate the transition points and asymptotes

A:

Q: 3) Find the vertical asymptotes (verify with limits) 2 x² - 4 f(x) =

A:

Q: Plot the graph of f (x) = x/(4 − x) in a viewing rectangle that clearly displays the vertical and…

A: Given, f(x) = x/(4 − x) 1. Vertical asymptote. Since the denominator of the fraction is (4 − x),…

Q: Does not have any horizontal asymptotes

A: Function which does not have any Horizontal asymptotes

Q: Find vertical and horiztonal asymptotes for r(x)=8x^3/x^3+2x^2+8x

A: We generate vertical asymptotes  by the zeros of denominator ,so set denominator equal to zero as…

Q: What are the asymptotes?

A:

Q: y = + x2 (х — 2)2

A: Given

Q: How can you determine from the equation of a function if it has a vertical asymptote or a hole…

A: First of all we rearrange the given equation of function as rational function. Then factor the…

Q: What are the Vertical Asymptotes?

A: Vertical Asymptotes are the vertical lines that represents the zeros of the denominator of a…

Q: horizontial

A: To find horizontal asymptotes:   If the degree (the largest exponent) of the denominator is bigger…

Q: (х — 2)(г + 2)( +1) (х + 3)(ӕ + 1)

A:

Q: Find the horizontal asymptotes of and vertical the function.

A: The given function is: y=x4-3x2-10x2-10x+26 To find the Horizontal asymptote, just equate the…

Q: What are the horizontal asymptote and y-intercept for the graph of this function f(x)=2-x+7 ?

A: Given function