The polynomial equation is .
Make a table of values.
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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
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Observe the graph:
\The graph represents the no relative maxima and minima points.
\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 does not has relative maxima and relative minima points.
\The function domain and ranges are all real numbers.