Question

find the domain of the function defined by the set of points below. express your answer as a set of numbers.

(0, -3), (4, 6), (-1, 2), (-3, 1), (8, 10), (3, 3), (-10, -4)

Explanation:

Step1: Recall domain definition

The domain of a function (defined by ordered pairs \((x,y)\)) is the set of all \(x\)-values (first elements) of the ordered pairs.

Step2: Extract \(x\)-values

From the ordered pairs \((0, - 3),(4,6),(-1,2),(-3,1),(8,10),(3,3),(-10,-4)\), the \(x\)-values are \(0,4, - 1,-3,8,3,-10\).

Step3: Form the domain set

Arrange these \(x\)-values in a set. The domain is \(\{-10,-3,-1,0,3,4,8\}\).

Answer:

\(\{-10, - 3, - 1, 0, 3, 4, 8\}\)