MHB Continuous, discontinuous and piece-wise function

AI Thread Summary
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.
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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