.
*Graphical Methods
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A simple method for obtaining an estimate of the root of the equation f(x)=0 is to make a plot of the function and observe where it crosses the x axis. This point wich represents the x value for wich f(x)=0, provides a rough approximation of the root
.
Graphical techniques are of limited practical value because they are not precise. However, graphical methods can be utilized to obtain rough estimates of roots. These estimates can be employed as starting guesses for numerical methods.
*Graphical Methods
-
A simple method for obtaining an estimate of the root of the equation f(x)=0 is to make a plot of the function and observe where it crosses the x axis. This point wich represents the x value for wich f(x)=0, provides a rough approximation of the root.
Graphical techniques are of limited practical value because they are not precise. However, graphical methods can be utilized to obtain rough estimates of roots. These estimates can be employed as starting guesses for numerical methods.
Aside from providing rough estimates of the root, graphical interpretations are important tant tools understanding the properties of the functions and anticipating the pirfalls of the numerical methods.
If f(a) = f(b) ----> There are roots or a pair number of roots
If f(a) = f(b) ----> There is one root or an odd number of roots
Source: chapra fifth edition
