Here is some information about a function f(x): f(0)=1. f′(x) is positive on (−4,4) and negative on (−∞,−4)∪(4,∞). f″(x) is positive on (−∞,−2)∪(0,2) and negative on (−2,0)∪(2,∞)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 53E
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Here is some information about a function f(x):

  • f(0)=1.
  • f′(x) is positive on (−4,4) and negative on (−∞,−4)∪(4,∞).
  • f″(x) is positive on (−∞,−2)∪(0,2) and negative on (−2,0)∪(2,∞)

    Sketch a possible graph of f(x) which is consistent with all of this information.
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