$\"\"$

Observe the graph:

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

The graph turns at $\"\"$ and $\"\"$ .

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

The graph represents the relative maxima at $\"\"$ -coordinate is $\"\"$ .

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

The graph reprsents the relative minima is $\"\"$ .

Find the real zeros.

The graph crosses the $\"\"$ –axis at $\"\"$ and $\"\"$ .

So, the zeroes of the function are $\"\"$ and $\"\"$ .

Find the degree of the function.

The graph of a polynomial of degree $\"\"$ has at most $\"\"$ turning points.

That is if the graph of the polynomial has $\"\"$ turning points, then its degree is at least $\"\"$ .

The graph has $\"\"$ turning points.

So, the degree of the polynomial should be at least $\"\"$ .

Find the domain and range.

The domain of a polynomial is all real numbers and range is all real numbers.

$\"\"$

The graph represents the relative maxima at $\"\"$ -coordinate is $\"\"$ .

The graph reprsents the relative minima is $\"\"$ .

b. The zeroes of the function are $\"\"$ and $\"\"$ .

c. The degree of the polynomial $\"\"$ .

d.The domain of a polynomial is all real numbers and range is all real numbers.