Domain of a Function is a Set of Values under which the Function is defined or a Set of Values which satisfy the respective Function.
From the Diagram we can Notice that the Function is Defined only with the Values : (-6 , -1] ∪ (1 , 5]
⇒ Domain of the Given Function is (-6 , -1] ∪ (1 , 5]
Range is the Set of Values which we get under the Defined values of Domain of the Given Function.
From the Diagram we can Notice that the Values of the Given Function under the Defined Domain range from : (-3 , 2] ∪ [3 , 7)
⇒ Range of the Given Function is (-3 , 2] ∪ [3 , 7)
2nd Option is the Answer