Graphing Polynomials. Step One: Determine End Behavior Using Lead Coefficient Test.

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Presentation transcript:

Graphing Polynomials

Step One: Determine End Behavior Using Lead Coefficient Test

Summary of End Behavior +Lead Coefficient-Lead Coefficient Even Degree Odd Degree

Notation for End Behavior of Graphs

End Behavior of Graphs

Step 2: Determine the Number of Turning Points

Step 3: Find x-intercepts 1.If a root occurs an even number of times, the graph touches the x-axis there and turns around. 2.If a root occurs an odd number of times, the graph crosses the x-axis there. 3.If a root occurs more than once, the graph flattens out near that point.

Roughly sketch the graph Even, negative lead coefficient, zeros -3, 2, and 4(x2)

Roughly sketch the graph Odd degree, zeros -3, 0(x3), 5

Roughly sketch the graph Odd, zeros -5, -3, -1(x2), 0(x5), 4

Roughly sketch the graph Even, zeros -3, 0, 1(x4), 4, 5(x3)

Step 4: Find the y-intercept

Step 5: Consider the Symmetry

Sketch the graph

Sketch the Graph

Using a Calculator to Graph

More Calculator Graphing