Use the test for concavity to find the intervals of concavity and state any POI. 3 1. f (x) = 2x³- 6x2+6x - 3 2.9 (x) = x²e² 3. h (x) = In (x) x = Make sure to make a table for your intervals, x value, and f"(x) value Write a formal answer in the form: . On the interval (_ There is a POI at x=_____ _) f(x) is (concave up/down) because f"(x) is (positive/negative) on f(x) becasue f"(x) changes signs

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 37E
Question
Use the test for concavity to find the intervals of concavity and state any POI.
3
1. f (x) = 2x³- 6x2+6x - 3
2.9 (x) = x²e²
3. h (x) = In (x) x
=
Make sure to make a table for your intervals, x value, and f"(x) value
Write a formal answer in the form:
. On the interval (_
There is a POI at x=_____
_) f(x) is (concave up/down) because f"(x) is (positive/negative)
on f(x) becasue f"(x) changes signs
Transcribed Image Text:Use the test for concavity to find the intervals of concavity and state any POI. 3 1. f (x) = 2x³- 6x2+6x - 3 2.9 (x) = x²e² 3. h (x) = In (x) x = Make sure to make a table for your intervals, x value, and f"(x) value Write a formal answer in the form: . On the interval (_ There is a POI at x=_____ _) f(x) is (concave up/down) because f"(x) is (positive/negative) on f(x) becasue f"(x) changes signs
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