Consider the function f that satisfies the following:the only intercept points of the graph of f are (−4, 0), (0, 0), and (5, 0)lim x->2^+ f(x) = -∞, lim x->2^- f(x) = +∞, lim x-> -∞ f(x) = 2, and lim x-> +∞ f(x) = 2f(-2) = -2f is continuous everywhere (except at x = 2)the table of signs is also given (photo attached)Question:Sketch the graph of f with emphasis on the concavity. Label all the important points (intercept points, asymptote with their equations, inflection points, and relative extremum points) (-00, -4)-4| (-4,-2) | -2 (-2,2)2(2, +o)f' (x)und.und.+f" (x)und.und.+

Answered: Image /qna-images/answer/9c6ff01a-e44c-46bc-928c-29a169f86a6c.jpg

Answered: (-00, -4) -4 (-4, -2) | -2 | (-2,2) (2,…

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.1: Functions And Function Notation

Problem 116E

Related questions

Question

Consider the function f that satisfies the following:

the only intercept points of the graph of f are (−4, 0), (0, 0), and (5, 0)
lim x->2^+ f(x) = -∞, lim x->2^- f(x) = +∞, lim x-> -∞ f(x) = 2, and lim x-> +∞ f(x) = 2
f(-2) = -2
f is continuous everywhere (except at x = 2)
the table of signs is also given (photo attached)

Question:

Sketch the graph of f with emphasis on the concavity. Label all the important points (intercept points, asymptote with their equations, inflection points, and relative extremum points)