Domain: [tex][-2,6][/tex]
Range: [tex][0,5][/tex]
Explanation:
Domain:
The domain of a function is the set of all possible values of the independent variable x. From the graph, we can see that the function has the set of all possible values from -2 to 6. Hence, the domain is from -2 to 6.
Thus, writing the domain in interval notation, we have,
[tex]-2\leq x\leq 6[/tex]
This also can be written as [tex][-2,6][/tex]
Hence, the domain is [tex][-2,6][/tex]
Range:
The Range of a function is set of all possible values of y obtained by substituting the values for x in the function. From the graph, we can see that the function has the set of all possible values from 0 to 5. Hence, the range is from 0 to 5.
Thus, writing the range in interval notation, we have,
[tex]0\leq y\leq 5[/tex]
This also can be written as [tex][0,5][/tex]
Hence, the range is [tex][0,5][/tex]
