Find the domain and range of the relation given to the right

Find the domain and range of the relation given to the right. What is the domain of the given relation? A. (-infinity, -2(2, infinity) B. (- 2, 2) C. (-infinity, infinity) D. None of the above. What is the range of the given relation? A. (-infinity, -2) (2, infinity) B. (-infinity, infinity) C. (-2, 2) D. None of the above

Solution

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a) From the relation defined in graph is is clear that y is defined for all possible values of x. Hence Domain can be considered as per Option C i.e. from Neative infinity to positive Infinity.

b) Clearly from the relation given f(x) cannot have any value between -2->2 . Hence range of this function are all values from - Infinity to + Infinity except (-2,2). i.e. .Option A.

Solved