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Graph of Functions (Constant Function)

published on March 15th, 2008 . by Vanaja

A function of the type y=f(x)=k where k is a fixed real number.

Graph of constant function.
The graph of the constant function is a straight line parallel to x axis, which is above or below according to k is positive or negative. That is if k>0 the graph will be above x axis and at a distance k units above it. If k<0, then it will be k units below it. If k=0, then the graph will coincide with the x axis.

The domain of the constant function f(x)=k is the set R of all real numbers and range of the function is the singleton set {k}

So, we can see a constant function is a many-one into function.

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