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.
Two angles are said to be supplementary if they add up to 180 degrees. So the supplement of an angle is obtained by subtracting it from 180. i.e., if x is an angle, its supplement is 180−x
