MHB Continuous, discontinuous and piece-wise function

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The discussion revolves around identifying equations related to continuous, discontinuous, and piece-wise functions. A user expresses confusion about where to start their activity and seeks assistance. Another participant highlights a potential misunderstanding regarding continuity, noting that a function can have infinitely many points of continuity. They suggest that the activity may require identifying specific points of continuity among break points. Clarification on the types of discontinuities is also requested, indicating a need for foundational understanding in the topic.
Tracy18
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help me please to determine what are the equations i need tofinish my activity. Thankyou
 
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Have you tried anything?
 
Nope I don't know where to stat
 
Tracy18 said:
Nope I don't know where to stat
What are the three types of discontinuites?

-Dan
 
It is very strange that this says "should have two continuous point(s)". This function will necessarily have infinitely many points of continuity! I presume it means that two of the five break points are to be points of continuity.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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