The polynomial equation is
.
Make a table of values.
\![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
Observe the table:
\Since
is a third degree polynomial, since it has either
or
real zeros.
The change in sign indicates that there is a zero between
and
.
Graph:
\Graph the function
.
Plot the points obtained in the table.
\
Observe the graph:
\The function has relative maxima at
-coordinate
and it has relative minima at
-coordinate
.
The function has relative maxima at
-coordinate
and it has relative minima at
-coordinate
.