Verifying the Correctness of Your Answer

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Homework Help Overview

The discussion revolves around verifying the correctness of an answer related to function behavior, specifically concerning intervals of increase and decrease, as well as the implications of asymptotes on function definitions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the correct use of logical operators in mathematical expressions, question the definition of intervals, and raise concerns about omitted intervals in the original answer.

Discussion Status

The discussion is active, with participants providing clarifications and pointing out potential omissions in the original response. There is an ongoing examination of the implications of asymptotes on the function's definition.

Contextual Notes

There appears to be some ambiguity regarding the intervals of increase and decrease, as well as the handling of asymptotes, which may affect the overall interpretation of the function's behavior.

angela107
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Homework Statement
Given the following graph, what are the intervals where the function is increasing, decreasing, or constant?
Relevant Equations
n/a
Screen Shot 2020-05-28 at 12.47.36 PM.png

Screen Shot 2020-05-28 at 2.32.42 PM.png

Is this answer correct?
 
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I see what you mean, but you should write OR instead of AND. The word AND corresponds to ##\cap## while OR corresponds to ##\cup##, which is what you need here.

So, to be totally clear, rather write: Increasing on ##[-4,-2]\cup [4,6]## and similarly for decreasing.
 
I'm not really sure, but if in ##x=-6## there is an asymptote, then the function is not defined in ##\left(-\infty,-6\right]##
 
What happened to (6,7]?
 
haruspex said:
What happened to (6,7]?
that is also increasing.
 
angela107 said:
that is also increasing.
Sure, just pointing out that you omitted it from your answer.
 
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