Continuity/Increasing/Decreasing/etc.

Question 1

A function f is —– at “a” if —–. If f is not continuous at “a”, then “a” is a point of discontinuity.

Answer 1

continuous, lim x->a f(x)=f(a)

Question 2

In order for f to be continuous at “a,” the following thee conditions must hold:

Answer 2

1. f(a) is defined
2. lim x->a f(x) exists
3. lim x->a f(x)=f(a)

Question 3

A function is——at “a” if
lim x->0^- f(x)=f(a) and f is ————
if lim x->a^+ f(x)=f(a)

Answer 3

continuous from the left, continuous from the right

Question 4

A function f is—–i if it is continuous at all points of I. If I contains its endpoints, continuity on I means continuous from the right or left at the endpoints.

Answer 4

continuous, on, an , interval