confused on the simpification of f''(x) Q14: : Find intervals where function f is concave up and concave down and find theinflection point(s) if any::f (x)= xe* Q14:f (x) = xe*, so f' (x) = e* +xe* = (x + 1) e* and f" (x) = (x +1) e* + e* = (x + 2) e*. Setting f" (x) = 0gives x = -2. The sign diagram of f"shows that ƒ is%3D0 + + + + + + sign of f"concave downward on (-∞o, –2) and concave upward on(-2, 00).-2The sign diagram shows that (-2, -2e²) is an inflection point.

Answered: Q14: : Find intervals where function f…

Q14: : Find intervals where function f is concave up and concave down and find the inflection point(s) if any:: f (x) = xe*

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section: Chapter Questions

Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...

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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

confused on the simpification of f''(x)

Q14: : Find intervals where function f is concave up and concave down and find the
inflection point(s) if any::
f (x)= xe*

Q14:
f (x) = xe*, so f' (x) = e* +xe* = (x + 1) e* and f" (x) = (x +1) e* + e* = (x + 2) e*. Setting f" (x) = 0
gives x = -2. The sign diagram of f"shows that ƒ is
%3D
0 + + + + + + sign of f"
concave downward on (-∞o, –2) and concave upward on
(-2, 00).
-2
The sign diagram shows that (-2, -2e²) is an inflection point.

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