Question

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 attempts: 1 out of 2

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Explanation:

Step1: Recall the definition of domain

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: Identify the \(x\)-values from the given points

The given ordered pairs are \((-4, -7)\), \((-7, 7)\), \((-6, -2)\), \((-1, 9)\), \((-2, -8)\). The \(x\)-values (first components) are \(-4\), \(-7\), \(-6\), \(-1\), and \(-2\).

Step3: List the domain values

We list these \(x\)-values in a set. So the domain is the set containing \(-7\), \(-6\), \(-4\), \(-2\), \(-1\) (we usually order them from least to greatest for clarity).

Answer:

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