1. Use the following information provided to answer the questions and sketch and accurate graph of f(x) f(-9) = 0 f(-1) = 0 f(2) = 2 f(4) = 4 f(6) = 3 lim f(x) = o X--5- lim f(x) =-∞ lim f(x) = ∞ lim f(x) =1 %3D x--5+ X→ー0 f'(-9) = 0 f'(-5) DNE f'(-1) = 0 f'(4) = 0 f'(x) > 0 on x E (-9,–5) U (–5,4) f'(x) < 0 on x E (-∞, –9) U (4, 0) f"(-1) = 0 f"(-5) DNE f"(2) = 0 f"(6) = 0 f"(x) > 0 on x e (-0, –5) U (–1,2) u (6, 0) f"(x) < 0 on x e (-5;1) U (2,6) a) State the equations of any vertical asymptotes b) State the equation of any horizontal asymptotes 10 -8 c) State any intervals of increase

1. Use the following information provided to answer the questions and sketch and accurate graph of f(x) f(-9) = 0 f(-1) = 0 f(2) = 2 f(4) = 4 f(6) = 3 lim f(x) = o X--5- lim f(x) =-∞ lim f(x) = ∞ lim f(x) =1 %3D x--5+ X→ー0 f'(-9) = 0 f'(-5) DNE f'(-1) = 0 f'(4) = 0 f'(x) > 0 on x E (-9,–5) U (–5,4) f'(x) < 0 on x E (-∞, –9) U (4, 0) f"(-1) = 0 f"(-5) DNE f"(2) = 0 f"(6) = 0 f"(x) > 0 on x e (-0, –5) U (–1,2) u (6, 0) f"(x) < 0 on x e (-5;1) U (2,6) a) State the equations of any vertical asymptotes b) State the equation of any horizontal asymptotes 10 -8 c) State any intervals of increase

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Similar questions

P.1: Consider f (x) = 2 a) Sketch this function by hand showing the asymptotic points and their values. b) Use Mathematica (or WolframAlpha) to plot this function. 2x2 P.2: Consider f (x) = e-2x2 a) Sketch this function by hand showing the asymptotic points and their values. b) Use Mathematica (or WolframAlpha) to plot this function.
5. For the function shown, determine the following. a) the horizontal asymptote b) x and y intercepts -2 c) Domain and Range d) The equation of the function
3. Write the equation to represent the reciprocal function with the following properties: the horizontal asymptote is y = 2, the vertical asymptote is x = 3, ● hole at x = 1.
Which of the following features should NOT be represented on a sketch of the graph of the function: 3 + 1? X – 1 y = ) A horizontal asymptote with equation y = 0 O A vertical asymptote with equation x = 1 O The y-intercept at (0, –2) O The x-intercept at (-2,0)
7. Find the following information for each function. (1) State the domain (in interval notation). (ii) Find the equation(s) of the vertical asymptote(s). (iii) Find the x-intercept(s). (iv) Find the y-intercept(s).
4. Given f(x)=x +- a) Find all asymptotes and state their equations. b) Find all local max/min points. c) Find all points of inflection. d) Complete the chart in the space below and then sketch the graph.