Solution:
The domain is the input or x-values for which a function is defined.
From the graph, the domain is the x-values of the points;
Therefore, the domain is;
[tex]x=\mleft\lbrace0,1,2,3,4\mright\rbrace[/tex]
The range is the output or y-values for which a function is real and defined.
From the graph, the range is the y-values of the points;
Therefore, the range is;
[tex]y=\mleft\lbrace0,2,4,6,8\mright\rbrace[/tex]
Since there are different points for the domain, therefore, the domain is not continuous.
Therefore, the domain is discrete.
Also, the graph is a function because, for every input, there is a corresponding single output.
It also passes the vertical line test, because if a vertical line is drawn across each point, it passes through one output (one y-value) only, hence it is a function
Therefore, the graph is a function.
