Module 4 : Local / Global Maximum / Minimum and Curve Sketching
Lecture 12 : Curve sketching [Section 12.2]
5.
Give an example of function having the following properties
(i) is strictly increasing and concave upward.
(ii) is strictly increasing and concave downward.
(iii) is strictly decreasing and concave upward.
(iv) is strictly decreasing and concave downward.
(v) is strictly increasing and has a point of inflection at .
6.
For
analyse the graph by describing the region of increase, decrease, local extrema, convexity and behaviour as .
having the following properties 
is strictly increasing and concave upward. 
is strictly increasing and concave downward. 
is strictly decreasing and concave upward. 
is strictly decreasing and concave downward. 
is strictly increasing and has a point of inflection at 
. 
. 
