$\"\"$

The polynomial equation is $\"\"$ .

a. Make a table of values.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Graph:

Graph the function $\"\"$ .

Plot the points obtained in the table.

$\"\"$

Find the real zeros.

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 $\"\"$ .

Find the relative maxima and minima occurs at $\"\"$ -coordinate.

Observe the graph:

The function has relative maxima at $\"\"$ -coordinate $\"\"$ and it has relative minima at $\"\"$ -coordinate $\"\"$ .

$\"\"$

Graph the function $\"\"$ .

$\"\"$

b. The change in sign indicates that there is a zero between $\"\"$ and $\"\"$ .

The function has relative maxima at $\"\"$ -coordinate $\"\"$ and it has relative minima at $\"\"$ -coordinate $\"\"$ .