If f is continuous on ( a , b ) and f ( x ) ≠ 0 for all x in ( a , b ), then either f ( x ) > ______ for all x in ( a , b ) or f ( x ) < _________ for all x in ( a , b ).
A function f is said to be continuous on the _______ at x = c if lim x → c + f ( x ) = f ( c ).
A function f is said to be continuous on the _______ at x = c if lim x → c − f ( x ) = f ( c ).
When a graph is broken, or disconnected, at a point x = c, the function is said to be _________ at x = c.
A function is ___________ on the open interval ( a , b ) if it is continuous at every point on the interval.
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