To explain: The terms function, domain of a function and range of a function.
A function f is defined as a ordered pair such that are related by a definite rule.
The set of all such values of x is domain D for the function f and the set of all values of is called as range R.
To explain: The meaning of graph of the function f.
Draw the graph of the function f as shown in the Figure1
As per the definition of the function it is an ordered pair .
Plot the point in the xy-plane for all values of x in the domain.
Connect all the points to obtain a curve this curve is known as graph of the function f.
To check: Whether the graph of a function exists or not.
If the graph has no vertical line intersects to the curve more than once, then the graph of a function exists.
If the graph has the vertical line intersect to the curve more than once, then the graph of a function does not exist
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