Modul
e
4
: Local / Global Maximum / Minimum and Curve Sketching
Lecture
12 : Curve sketching [Section 12.2]
12.2.3
Intercepts:
(i)
For a function
, the values
such that
are called the zeros , or the
- intercepts of
.
This means that the points
lie on the graph of
.
(ii)
Similarly, for a function
, the point
such that
is called the
-intercept for the function
. This means that the point
is on the graph of
.
Note that while a function
can have more than one
-intercepts, it can have only one
-intercept.
12.2.4
Example:
For the function
, the
-intercepts are given by
i.e.,
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, the values 
such that 
are called the zeros , or the 
- intercepts of 
.
lie on the graph of 
. 
, the point 
such that 
is called the 
-intercept for the function 
. This means that the point 
is on the graph of 
. 
can have more than one 
-intercepts, it can have only one 
-intercept. 
, the 
-intercepts are given by 
