Module 4 : Local / Global Maximum / Minimum and Curve Sketching
Lecture 12 : Curve sketching [Section 12.2]
i.e.,
The -intercept is .
12.2.5
Periodicity:
A function is said to be periodic with period if .
Periodicity means that, one need to analyze the graph offor atmost in an interval of length . Everywhere else it will be a replica of the same graph in intervals of length.
Now we can give an algorithm that helps us to sketch graphs of functions.
12.2.6
Algorithm for curve sketching:
We list the steps one can follow to draw a graph of a function . Locate x-intercepts and y-intercept. Look for symmetry.
-intercept is 
. 
is said to be 
if
. 
for
atmost in an interval of length 
. Everywhere else it will be a replica of the same graph in intervals of length
. 
Locate x-intercepts and y-intercept. 
