BRAINLIEST (try) to show work
The graph of a function f(x) is shown below:

(word written picture included )graph of line segment with endpoints at negative two, negative one and three, three. The negative two, negative one endpoint is open and the three, three endpoint is closed.

What is the domain of f(x)?
choices:
−2 < x ≤ 3
−2 ≤ x < 3
−1 < y ≤ 3
−1 ≤ y < 3

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.

Answer Link

virtuematane virtuematane · Answer 2 · 2019-04-10T09:49:15+02:00

Answer:

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.)