Question

find the range of the function defined by the set of points below. express your answer as a(6, -3), (-6, -2), (0, 6), (-7, 2)

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 \((6, - 3)\), the \(y\)-value is \(-3\).
For the ordered pair \((-6, - 2)\), the \(y\)-value is \(-2\).
For the ordered pair \((0, 6)\), the \(y\)-value is \(6\).
For the ordered pair \((-7, 2)\), the \(y\)-value is \(2\).

Step3: Collect the \(y\)-values and form the range set

We collect all the \(y\)-values we found: \(-3\), \(-2\), \(6\), \(2\). Then we arrange them in ascending order (though order doesn't matter for a set) to get \(\{-3, - 2, 2, 6\}\).

Answer:

\(\{-3, -2, 2, 6\}\)