Question

find the domain of the function defined by the set of points below. express your answer as a set of numbers.
(-5, -4), (-6, 5), (-1, 0), (-2, 0), (7, -9), (8, 2)
answer attempt 1 out of 2
+ add value - no value
{ } submit answer

Explanation:

Step1: Recall domain definition

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

Step2: Extract x - values

From the ordered pairs \((-5, -4), (-6, 5), (-1, 0), (-2, 0), (7, -9), (8, 2)\), the \(x\)-values are \(-5\), \(-6\), \(-1\), \(-2\), \(7\), \(8\).

Step3: Form the domain set

We collect these \(x\)-values into a set. The domain is \(\{-6, -5, -2, -1, 7, 8\}\) (we can order them from least to greatest for clarity, but the set just needs to contain all the unique \(x\)-values).

Answer:

\(\{-6, -5, -2, -1, 7, 8\}\)