Verifying the Correctness of Your Answer

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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
Graph of a piecewise curve on x and y axes: a red curve falls from above at x = -6, reaches a minimum near (-4, 2), rises to a peak at (-2, 4), then falls to (0, 2); flat from x = 0 to 4 at y = 2, then rising linearly to a filled dot at (7, 5).

Typed list of intervals: Increasing: [-4, -2] and [4, 6]. Constant: [0, 4]. Decreasing: (-∞, -4] and [-2, 0].

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]##
 
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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