Sketching the Graph of a Polynomial Function

Graphing Polynomial Functions Using a Table of Values Example #1

Plug in values for x (-2, -1, 0, 1, and 2 are recommended) to get y values, and plot your points (x, y). Connect your points to form the graph.


Graphing Polynomial Functions Using a Table of Values Example #2


Graphing Polynomial Functions Using It's Intercepts Example #1

Factor the polynomial completely, to find all of it's x-intercepts. The y-intercept is the polynomials constant term. Look at the degree (even/odd) and the leading coefficient (positive/negative) to determine the behavior of the graph. Plot the x and y intercepts, and connect the points to form the graph.


Graphing Polynomial Functions Using It's Intercepts Example #2


Graphing Polynomial Functions Using It's Intercepts Example #3

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