Continuous, discontinuous and piece-wise function

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Tracy18
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Printed worksheet titled "My Own Continuity Function Plan" listing the goal to create a piecewise function with at least 5 equations, 2 continuous points and 3 discontinuous points, plus role, audience, situation and product sections.
help me please to determine what are the equations i need tofinish my activity. Thankyou
 
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.