Question

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

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 \((-4, -7), (-7, 7), (-6, -2), (-1, 9), (-2, -8)\), the \(x\)-values are \(-4\), \(-7\), \(-6\), \(-1\), \(-2\).

Step3: Form the domain set

Collect these \(x\)-values into a set, ensuring each is unique (they already are here). So the domain is \(\{-7, -6, -4, -2, -1\}\) (ordered from least to greatest for clarity, though set order doesn't matter).

Answer:

\(\{-7, -6, -4, -2, -1\}\)