(a) Sketch a graph of a function f such that: o f' <0 and f" < 0, for a < 3 o f>0 and f" > 0, for x > 3. (b) Does the graph of the function f in Part (a) have an inflection point? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 1E
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(a) Sketch a graph of a function f such that:
o f' <0 and f" < 0, for a < 3
f'>0 and f" > 0, for æ > 3.
(b) Does the graph of the function f in Part (a) have an inflection point? Explain.
Transcribed Image Text:(a) Sketch a graph of a function f such that: o f' <0 and f" < 0, for a < 3 f'>0 and f" > 0, for æ > 3. (b) Does the graph of the function f in Part (a) have an inflection point? Explain.
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