5 Questions around this concept.
The graph of $y=3|x-2|$ is:
A graph represents a function, if there exists a vertical line which meets the graph in not more than two or more points, i.e., a vertical line meets the graph at only one point.
In this diagram, the vertical dotted line meets the graph at only one point. So the Y-axis represents a function.
Identity Function
Let R be the set of real numbers. Define the real valued function by for each . Such a function is called the identity function. Here the domain and range of f are R.
The graph is a straight line and passes through the origin.
Constant Function:
Define the function by where c is a constant and each . Here the domain of f is R and its range is { c }.
The graph is a line parallel to x-axis.
Tips and Tricks for Graphical Representation of Functions
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