Observe the graph:
\a.
\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
.
Thus graph has the relative maxima at
-coordinate is
.
The value of the function is less than the surrounding points at
and
.
The graph has the relative minima at
and
.
\
b.
\Find the real zeros.
\The graph crosses the
–axis at
and
.
Thus, the zeroes of the function are
and
.
c.
\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.
Degree of the polynomial should be at least
.
d.
\Find the domain and range.
\The minimum value of the function is
.
So, the range of the function is
.
The domain of a polynomial is all real numbers.
\a.
\The graph represents the relative maxima at
-coordinate is
.
The graph reprsents the relative minima are
and
.
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
.