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....
View
Full Document
 Spring '11
 Dr.Han
 Addition, Subtraction, Negative and nonnegative numbers, Astrological signs

Click to edit the document details