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Unformatted text preview: ∞ ). The following table organizes our computation, Interval (∞ , 2) (2, 1) (1, 3) (3, ∞ ) xvalue picked3 2 4 Value of f(x)= (x1)(x+2)(x3) f(3)=(31) (3+2)(33) =24 f(0)=(01)(0+2) (03)=6 f(2)=(21)(2+2) (23)=4 f(4)=(41)(4+2) (43)=24 Sign of f ( x )++ Step three: Draw the arrows on the number line. A right arrow for positive sign and a left arrow for negative sign. a Figure 10. Phase Diagram If c is a critical number of x = f ( x ), i.e. f ( c ) = 0 , • c is a sink if arrows on both side of it point toward it. • c is a source if arrows on both side of it point away from it. • c is a saddle if one arrow points away from and another points toward it....
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This note was uploaded on 10/04/2011 for the course MAP 4231 taught by Professor Dr.han during the Spring '11 term at UNF.
 Spring '11
 Dr.Han

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