Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.                                                                The graph of f(x) = 1/x is concave downward for x < 0 and concave upward for x > 0, and thus it has a point of inflection at x = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.                                                                The graph of f(x) = 1/x is concave downward for x < 0 and concave upward for x > 0, and thus it has a point of inflection at x = 0.

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