Given:
The graph of a relation.
To find:
The domain, range and check whether it is a function or not.
Solution:
Domain: The set of x-values or input values is known as domain.
Range: The set of y-values or output values is known as range.
A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.
Vertical line test: Each vertical line intersect the graph at most once.
The given function is defined for all real values of x. So, the domain of the given graph is:
[tex]Domain=(\infty,\infty)[/tex]
The given function values can be any real number between -1 to 1. So, the range of the given graph is:
[tex]Range=[-1,1][/tex]
For all values of x we have a unique value of the function and the given graph intersect each vertical line at most once.
Since the graph pass the vertical line test therefore the given graph is a function.
