$\"\"$

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 $\"\"$ .

Find domain and range: \ \

The function is defined for all values of $\"\"$ .

So, the domain is set of all real numbers.

The function consider all real numbers.

So, the range is set of all real numbers.

$\"\"$

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

$\"\"$ -coordinate $\"\"$ .

The function domain and range are all real numbers.