- #1
angela107
- 35
- 2
- Homework Statement
- Given the following graph, what are the intervals where the function is increasing, decreasing, or constant?
- Relevant Equations
- n/a
Is this answer correct?
Last edited by a moderator:
Verifying the Correctness of Your Answer
- Thread starter angela107
- Start date
In summary, the conversation discusses the use of AND and OR in mathematical notation, specifically in the context of increasing and decreasing functions. The difference between the notation ##\cap## and ##\cup## is explained and the correct notation for increasing on a specific interval is clarified. The conversation also touches on the concept of asymptotes and their effect on the domain of a function. It is noted that the interval (6,7] was omitted from the original answer, but it is still considered to be increasing.
Is this answer correct?
- #2
member 587159
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.
So, to be totally clear, rather write: Increasing on ##[-4,-2]\cup [4,6]## and similarly for decreasing.
- #3
LuccaP4
- 24
- 9
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]##
- #4
- 41,316
- 9,838
What happened to (6,7]?
- #5
angela107
- 35
- 2
that is also increasing.haruspex said:
- #6
- 41,316
- 9,838
Sure, just pointing out that you omitted it from your answer.angela107 said:
1. How do I know if my answer is correct?
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5. What should I do if I am still unsure about the correctness of my answer?
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