Sunday, August 22, 2010

Step forward to math

Introduction for types of functions graphs:
Function graphs f is the collection of all ordered pairs (x, f(x)). In particular, and the real number is x, a graph means the graphical representation of this collection , in the form of a curve on a Cartesian plane, together with Cartesian axes, etc.Curve sketching is Graphing on the Cartesian plane.An ordered pair (x1, x2) of real numbers can be an function input x , the graph is the collection of all ordered triples (x1, x2, f(x1, x2)), and its graphical representation is a surface .

Types of Functions Graphs for Exponential:

For any number a ≠ 1,a>0, the function f : R → R defined by f(x) = ax is called an exponential function.
Note: R+ (the set of all positive real numbers) for exponential function the range
Examples of this types:
Draw the graphs of exponential functions examples f : R → R+ defined by (1) f(x) = 2x (2) f(x)=3x (3) f(x)=10x
Solution:
For all these function f(x) = 1 when x = 0. Thus they cut the y axis at y = 1. For any real value of x, they never become zero. Hence the related curves to the above function do not meet the x-axis for real x. (or meet the x-axis at − ∞) Fig



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