Continuous curves - PowerPoint PPT Presentation

Continuity and End Behavior

Continuity and End Behavior. Section 3-5. Before finishing this section you should be able to:. Determine whether a function is continuous or discontinuous Identify the end behavior of functions Determine whether a function is increasing or decreasing on an interval.

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( a,c )

Suppose 0  f ( x,y )  M for all ( x,y ) in the following rectangular region R of the xy plane:. ( x 1 , d ). ( x 2 , d ). ( a,d ). ( b,d ). ( a , y 2 ). ( b , y 2 ). ( a , y 1 ). ( b , y 1 ). ( a,c ). ( b,c ). ( x 1 , c ). ( x 2 , c ).

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