Question

Intuitively, a function is _____________ over an interval if its graph can be drawn without removing a pen from the paper.

A function is said to be at continuous on the closed interval [a , b] if it is continuous on the open interval (a , b) and is continuous both on the ___________ at a and on the _________ at b.

A real number x is a _______ number for a function f if f is discontinuous at x or f ( x ) = 0.

A function f is ______ at the point x = c if:   

1. lim x → c f ( x ) exists;
2. f ( c ) exists;

Answer 1