х2-2х -3(15)Rational function r(x) =-2 has a vertical asymptote at x = 4. The asymptotic behaviorX- 4around x = 4 could be described as(B) y → ∞, as x →4° & y → - o, as x →4*(D) y → - ∞, as x →4° & y –→ - ∞, as x →4*(A) y → - 0, as x →4° & y → ∞, as x →4*(C) y → ∞, as x →4° & y → ∞, as x →4*

Answered: x²-2x -3 (15) Rational function r(x) =…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 93E

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Similar questions

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vertical asymptotes at x=-3 and x=5, x intercepts at (-5,0) and (2,0), horizontal asymptotes at y = -2 How do i write an equation for a rational function?
Write an equation for a rational function with the given characteristics. Vertical asymptotes at x= -1, x-intercepts at (-4,0) and (2,0), horizontal asymptotes at y=-3. Enclose numerators and denominators in parentheses. Include a multiplication sign between symbols. f(x)=
a rational function f(x) has one vertical asymptote =2 and one horizontal asymptote, y=-3. Also, the graph of f(x) passes through the ordered pair (5,0). Determine an equation for f(x) with these properties a) f(x)= -(3x-15)/(x-2) b) f(x) = (3x)/(2-x) c) f(x) = -(3x+15)/(x-2) d) f(x) = (3x+10)/(2-x)
f(x) = x3 - 2x2 - 15x + 36 = (3 - x)(12 - x - x2) Find the (a) intervals on which f is decreasing and increasing as well as the critical values of f(x), if any; (b) coordinates of local maximum and minimum values (if any); (c) intervals on which f is concave up and concave down as well as the points of inflection, if any; Sketch the graph of and show all details on the graph.
F1x2 = - x4 + 8x2 + 9(a) Determine whether F is even, odd, or neither.(b) There is a local maximum value of 25 at x = 2. Determinea second local maximum value.(c) Suppose the area under the graph of F betweenx = 0 and x = 3 that is bounded from below by thex-axis is 50.4 square units. Using the result from part (a),determine the area under the graph of F betweenx = - 3 and x = 0 that is bounded from below by thex-axis.
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lim x-->3 f(x)=8 and lim x--->3 g(x)= -4 1) limx--->3 (3f(x)-5g(x)) 2) lim x---> G(x)^3 + 50 / ( 5f(x)^(2/3) )
The process by which we determine limits of rational functions appliesequally well to ratios containing noninteger or negative powers of x:Divide numerator and denominator by the highest power of x in thedenominator and proceed from there. Find the limits in Exercise.

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