Question

the domain of the function defined by the set of points below. express your answer as a set of number (5, -5), (9, 6), (-9, 8), (-8, -10), (-7, 8), (-4, 7), (3, 1)

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) from the ordered pairs.

Step2: Extract \(x\)-values

From the ordered pairs \((5, -5)\), \((9, 6)\), \((-9, 8)\), \((-8, -10)\), \((-7, 8)\), \((-4, 7)\), \((3, 1)\), the \(x\)-values are \(5\), \(9\), \(-9\), \(-8\), \(-7\), \(-4\), \(3\).

Step3: Form the domain set

Arrange these \(x\)-values in a set (order doesn't matter, but we can list them).

Answer:

\(\{-9, -8, -7, -4, 3, 5, 9\}\)