Continuities of Functions
Practice
2.1 Given 
a) Is g(x) continuous at x = 3?
Yes
b) Is g(x) differentiable at x = 3?
No
c) Is (3,0) a relative maximum, minimum, or neither?
Relative minimum.
2.2 Given 
a) Find 
b) Find 
c) Find the x-coordinates of all the points of inflection on
2.3 
a) 
b) 
c) 
Rolle’s Theorem states: A function that is continuous and differential on an interval J to K, when f(J) = f(K), must have a point x between J and K where f`(x) = 0
2.4 Given 
a) Why does g(x) qualify for Rolle’s Theorem on 
It is continuous. It is differential and 
b) Find the x value on the interval 
2.5 Given 
a) Find the average slope on (2, 4)
b) Find x on (2, 4) where 
