Answer
In short, we have to follow the following steps :
$1.$ Find zeros
$2.$ Test a few points
$3.$ Determine the end behavior
$4.$ Graph it
Work Step by Step
As explained earlier in the chapter, we have to do the following steps :
$1.$ Factor the polynomial to find all its real zeros; these are the $x$-intercepts of the graph.
$2.$ Make a table of values for the polynomial. Include test points to determine whether the graph of the polynomial lies above or below the $x$-axis on the intervals determined by the zeros. Include the $y$-intercept in the table.
$3.$ Determine the end behavior of the polynomial.
$4.$ Using the above information, plot the intercepts and the other points found in the table. Sketch a smooth curve that passes through these points and exhibits the required end behavior.
