Question

question
find the range of the function defined by the set of points below. express your answer as a set of numbers.
(-6, -10), (9, 8), (-3, -7), (-5, 3)
answer attempt 1 out of 2
+ add value - no value
{ } submit answer

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 (second elements) of the ordered pairs.

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

For the ordered pair \((-6, -10)\), the \(y\)-value is \(-10\).
For the ordered pair \((9, 8)\), the \(y\)-value is \(8\).
For the ordered pair \((-3, -7)\), the \(y\)-value is \(-7\).
For the ordered pair \((-5, 3)\), the \(y\)-value is \(3\).

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

The \(y\)-values are \(-10\), \(8\), \(-7\), and \(3\). So the range is the set containing these values.

Answer:

\(\{-10, -7, 3, 8\}\)