Draw a graph given the following piecewise requirements

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The discussion centers on evaluating a graph based on specific piecewise requirements. Participants agree that the graph meets the outlined conditions, particularly noting its concavity for values of x greater than approximately 7. There is an emphasis on the importance of self-verification of work rather than solely seeking validation from others. Overall, the consensus is that the graph satisfies the necessary criteria. Engaging in self-assessment is encouraged for future evaluations.
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Is my work correct?
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What do you think? Does your graph satisfy all five conditions?
 
Mark44 said:
What do you think? Does your graph satisfy all five conditions?
I believe it does, yes.
 
I agree. In the future, instead of just asking whether the work is correct, see if you can verify it for yourself, or at least let us know that you've done that.
 
angela107 said:
I believe it does, yes.
The graph looks to be concave up for x greater than approximately 7 .
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
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