Question 1
What does it mean for a function to be continuous on an interval $[a,b]$?
Question 2
Which statement best describes continuity on an open interval $(a,b)$?
Question 3
Why is the function $f(x)=\frac{x^2-1}{x-1}$ not continuous on $[-2,2]$?
Question 4
For a function to be continuous on the closed interval $[a,b]$, what must be true at the endpoint $a$?
Question 5
If a function is continuous on $[a,b]$, what can be concluded about its graph on that interval?
