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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(e) Identify the absolute minimum. Enter as a list of ordered pairs.
(f) Identify the absolute maximum. Enter as a list or ordered pairs.
(g) Identify the interval on which f(x) is increasing.
(h) Identify the interval on which f(x) is decreasing.
Transcribed Image Text:(e) Identify the absolute minimum. Enter as a list of ordered pairs. (f) Identify the absolute maximum. Enter as a list or ordered pairs. (g) Identify the interval on which f(x) is increasing. (h) Identify the interval on which f(x) is decreasing.
Expert Solution
Step 1

Absolute minimum:

The absolute minimum of a function is the smallest value that the function can attain over it's entire curve.

Notice that the graph of the function is approaching -, when x approaching -. Hence,

There is no absolute minimum for the given graph

 

Step 2

Absolute maximum:

The absolute maximum of a function is the largest value that the function can attain over it's entire curve.

Notice that the graph of the function is approaching , when x approaching .

There is no absolute maximum for the given graph

Step 3

Notice that the function is increasing on -, 1 and 3, .

Advanced Math homework question answer, step 3, image 1Hence, The function is increasing on -, 13, .

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