(x^2-4)/(x+2) find : range hole horizontal asymptote

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

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Q: Find the limit of limx->-1 (x3-2x2+5)

A: Since this is a polynomial function,we can calculate the limit by direct substitution. We have The…

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 equation for all horizontal asymptotes of graph  y = 4ex - 3x/7x - 5ex question from chapter…

A: Find the all horizontal asymptotes of the given function.Find the limit value of the function when x…

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

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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: Create a table of value (use 8 values- 4 on the left and 4 on the right) and a calculator to the…

A: topic- limits

Q: find the limit of  limx->-4 [(x2-2x-24)/(x+4)]

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

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

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

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

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Q: - Find the slant asymptote of

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Q: Identify the Vertical asymptote, Horizontal asymptote and the domain of 4x/ 2x- 1

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Q: What is Oblique Asymptotes?

A: Oblique Asymptotes also known as the Slant Asymptotes. It is represented along a line y=mx+b, where…

Q: What are the slant line asymptote?

A: We have to define slant line asymptote.

Q: Find the inclind asymptotes of the 3-v3

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

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

A: The graph of the function is:

Q: Give five examples of the use of extreme value theorem in real life.

A: Examples of the use of extreme value theorem in real life.

Q: Find horizontal asymptotes by showing limits for x → ∞, x → -∞. Give some argument (numerical or…

A: find limit for

Q: limit as x approaches infinity, 10x^5+x^4+31/x^6

A: Here an expression is x is given to us and we need to calculate the value of expression when x tends…

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

A: We graph the function using a graphing calculator.

Q: write down a function with a horizontal asymptote and and reaches the value of that asymptote…

A: f(x)=cosx/x+1 is the required function.

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

A: The relative extrema is obtained when the first derivative of the function y=lnxx equals zero. The…

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: How to find  lim 4-x/x+3 while its approaching 3 from the left side.

A: we have to find limit value as x approaches to 3 from left side.

Q: What are the Horizontal Asymptotes?

A: A horizontal straight line to which the graph of a function approaches as x tends to +infinity or…

Q: correspondig limit x' +x -8x-12 a) lím x* +4x' +5x + 4x +4

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Q: Determine the one-sided limit. Then indicate the equation of the vertical asymptote.

A: limx→π2 secxIf limx→a-fx≠limx→a+fx then the limit does not existlimx→π2secx=diverges

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

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Q: Estimate lim 3x - 7x+1 using a graph.

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Q: Find all asymptotes of the given function (verify by graphing). 2x3 - 54 x2 - 9 2) f(x) =

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Q: Create a table of value (use 8 values - 4 on the left and 4 on the right) and a calculator to the…

A: Given problem:- Evaluate limx→610-x-4x+6by using 8 values table 4 left and 4 right

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: Use limits to determine the equations for all vertical asymptote. y=(x2-x-2)/(x2-2x+1)

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Q: Sketch the graph for this function

A: In this question. we draw the graph by using the calculus method i.e. by finding intercepts,…

Q: Sketch the graph of the function. Indicate the asymptotes, local extrema, and the points of…

A: Explanation of the answer is as follows

Q: The graph of a rational function cannot have both a vertical asymptote and a horizontal…

A: Let  a rational function be: fx=axn+⋯bxm+⋯ Graph will have vertical asymptote where its denominator…

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)

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Q: that has vertical asymptotes x =-2,x=5 and a horizc

A: The line x=L is a vertical asymptote of the function f(x)=y , if the limit of the function…

Q: Find the asymptotes, intervals of increase, decrease, concave upward, concave downward, local max,…

A: f(x)=x+1-xf'(x)=1-121-xfor increasing ,f'(x)≥0⇒1-121-x≥0⇒121-x≤1⇒1-x≥12⇒1-x≥14⇒x≤34intervals for…