Option 1, {x | x = –4, –1, 3, 5, 6} is the domain of the given function.
For any function, domain is the set of all input values that are accepted by the given function. For example, if there is a function, say f(x) = x + 2, then all the values of x will make up the domain of f(x).
Here, we are given a function {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
In this case, all the input values = all the x values
and all the output values = all the y values
Thus, the domain of the given function will be a set containing the following x values-
3, 6, -1, 5, -4
Arranging these values in the ascending order we get,
-4, -1, 3, 5, 6
Therefore, the domain of the function can be represented as {x | x = –4, –1, 3, 5, 6}.
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