Today we can discuss a topic from functions.**Definitions:****FunctionLet A anb B be two non empty sets. A function "f" from a set A to a set B is a rule so that to each element x in A there corresponds exactly one element y in B, under f ,then we say that f is a functin from A to B and writef:A -> B**

*y*is called the image of

*x*under

*f*and is denoted by

*f(x). x*and

*y*are respectively called the

**independent variable**and the

**dependent variable**. We also say that

*y*is a function of

*x*and write

*y=f(x)*

**Examples:**

In the family of circles, the area A of the circle is a function of radius r of the circle.

Here radius r is the independent variable and area A is the dependent variable

The speed of a chemical reaction increases 2 times with the addition of every 5 milligrams of a catalyst. Here the amount of catalyst is the independent variable and speed of the chemical reaction is the dependent variable.

Labels: Algebra, Calculus, Definitions

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Thanks

Dave