The domain of the function f(x) i.e. is represented by the graph given is:
−2 < x ≤ 3
Step-by-step explanation:
We know that the domain of some function f(x) is the set of all the possible values of the independent variable i..e set of all the x-values such that the function f(x) is well defined there.
By looking at the graph we see that the domain of f(x) is:
−2 < x ≤ 3
( Since, the f(x) is defined for all the values from -2 to 3 excluding the endpoint -2 since there is a open circle at -2 which represents that the number is not included in the domain i.e. the function is not defined at -2.)
The domain is the scope of the x values. In this case (-2,-1) is a hole, so x>-2 is one end of the domain, while (3,3) is defined. So the domain using interval notation is (-2,3] which can also be expressed -2 < x ≤ 3, answer option 1.
