$\"\"$

The polynomial equation is $\"\"$ .

Make a table of values.

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Observe the table:

Since $\"\"$ is a fourth 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 graph turns at $\"\"$ and $\"\"$ .

The value of the function is greater than the surrounding points at $\"\"$ .

Thus graph has the relative maxima at $\"\"$ -coordinate $\"\"$ .

The value of the function is less than the surrounding points at $\"\"$ and $\"\"$ .

The graph has the relative minima at $\"\"$ and $\"\"$ .

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 and relative minima points.

The function domain and ranges are all real numbers.