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Determine the intervals of the domain over which each function is.pdf

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The document discusses the continuity of 6 functions over their domains. Function 11 and 12 are continuous over their entire domains of (-inf, inf). Function 13 is continuous over the domain [3, inf). Function 14 is continuous over the domain (-inf, -1]. Function 15 is discontinuous at x=3, so it is continuous over the intervals (-inf, 3) U (3, inf). Function 16 is discontinuous at x=1, so it is continuous over the intervals (-inf, 1) U (1, inf).

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Determine the intervals of the domain over which each function is continuous. See Solution we would see for any breaks in the graph 11. contious over the entire domain ( -inf , inf) 12 contious over the entire domain ( -inf , inf) 13 continous over the domain [3, inf) 14 continous over the domain (-inf , -1] 15 discontinous at x = 3 So, continous over the interval ( -inf , 3) U( 3, inf) 16 discontinous at x = 1 So, continous over the interval ( -inf , 1) U( 1, inf)

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  • 1. Determine the intervals of the domain over which each function is continuous. See Solution we would see for any breaks in the graph 11. contious over the entire domain ( -inf , inf) 12 contious over the entire domain ( -inf , inf) 13 continous over the domain [3, inf) 14 continous over the domain (-inf , -1] 15 discontinous at x = 3 So, continous over the interval ( -inf , 3) U( 3, inf) 16 discontinous at x = 1 So, continous over the interval ( -inf , 1) U( 1, inf)