Microsoft_Word_-_Section_3.3

# Microsoft_Word_-_Section_3.3 - 3 PLOT the following...

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MAC 2233 Curve Sketching Section 3.3 Polynomial Function Recall that a polynomial function is a function where each term is of the form #x whole number . Examples of Polynomial Functions: 1 3 2 1 ) ( 3 + = x x x g 2 4 2 3 ) ( 3 4 + + = x x x x f head2right Polynomial Functions are continuous functions. o Since they are continuous, they do NOT have any vertical asymptotes. head2right Polynomial Function go to + or - at the ends. o y-values go up or down at the end of the graph. How to Graph a Polynomial Function 1. Find the intervals of increase and decrease. 2. Find the intervals of concavity.

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Unformatted text preview: 3. PLOT the following important points if possible: a. x-intercept(s) b. y-intercept c. relative maximum(s)/relative minimum(s) d. inflection point(s) 4. Line up the first and second derivative analysis and graph 1 interval at a time. Example: Sketch the graph of the function 1 3 ) ( 2 3 + + = x x x f . h Note: This is a polynomial function. Example: Sketch the graph of the function x x x f 5 ) ( 5 − = . h Note: This is a polynomial function....
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