Question

find the range of the function defined by the set of points below. express your answer as a set of numbers.
(-5, -8), (0, 8), (6, 1), (-10, 4)

Explanation:

Step1: Recall the definition of range

The range of a function defined by a set of ordered pairs \((x, y)\) is the set of all the \(y\)-values (the second elements) of the ordered pairs.

Step2: Identify the \(y\)-values from each ordered pair

For the ordered pair \((-5, -8)\), the \(y\)-value is \(-8\).
For the ordered pair \((0, 8)\), the \(y\)-value is \(8\).
For the ordered pair \((6, 1)\), the \(y\)-value is \(1\).
For the ordered pair \((-10, 4)\), the \(y\)-value is \(4\).

Step3: Collect the \(y\)-values into a set

The set of \(y\)-values is \(\{-8, 8, 1, 4\}\). We can also write it in ascending order as \(\{-8, 1, 4, 8\}\) (order doesn't matter in a set).

Answer:

\(\{-8, 1, 4, 8\}\)