Question

find the range of the function defined by the set of points below. express your answer as a set of numbers. (-7, -3), (-9, -4), (6, -1), (4, 6), (5, 5), (7, -1)

Explanation:

Step1: Identify y - values

Recall that for a function defined by a set of points \((x,y)\), the range is the set of all \(y\) - values. So we take the second element from each ordered pair.
The ordered pairs are \((-7,-3),(-9,-4),(6,-1),(4,6),(5,5),(7,-1)\). The \(y\) - values are \(-3,-4,-1,6,5,-1\).

Step2: Remove duplicates and order (optional for set)

A set does not contain duplicate elements. So we list the unique \(y\) - values. The unique \(y\) - values from \(-3,-4,-1,6,5,-1\) are \(-4,-3,-1,5,6\). We can also present them in ascending order for clarity, but the set just needs the unique elements.

Answer:

\(\{-4, - 3, - 1, 5, 6\}\)