Question

find the range of the function defined by the set of points below. express your answer as a set of numbers.

(-4,1),(-8,-6),(0,3),(-3,-9),(9,-2)

Explanation:

Step1: Recall the definition of range

The range of a function is the set of all output values (the second elements of the ordered pairs) from the function.

Step2: Identify the second elements

For the ordered pairs \((-4,1)\), \((-8,-6)\), \((0,3)\), \((-3,-9)\), \((9,-2)\), the second elements (outputs) are \(1\), \(-6\), \(3\), \(-9\), \(-2\).

Step3: Form the set of these outputs

We collect these values into a set, making sure each value is unique (though in this case all are unique). The set is \(\{-9, -6, -2, 1, 3\}\) (we order them for clarity, but the order in a set doesn't matter).

Answer:

\(\{-9, -6, -2, 1, 3\}\)