The example functions in this applet all have something interesting going on at
x = 2.
You must decide whether or not the function is continuous at
x = 2. Recall:
The function
f is continuous at the
x-value
c if
- f (x) = L where L is a real number
(so L can't be ∞ or −∞), and
- f (c) = L.
Informally, we say the function is continuous at a point if the limit exists, the
function value exists, and they are equal to each other.