Question

what is the range of this function?
(2, 5)
(3, -4)
(0, -5)
(10, -6)
(7, 7)
{-5, -4, 5, 6, 7}
{-6, -5, -4, 5, 7}
{2, 3, 7, 10}
{0, 2, 3, 7, 10}

Explanation:

Step1: Recall the definition of range

The range of a function (represented as a set of ordered pairs) is the set of all the second elements (y - values) of the ordered pairs.

Step2: Identify the y - values from the ordered pairs

The ordered pairs are \((2,5)\), \((3, - 4)\), \((0,-5)\), \((10,-6)\), \((7,7)\). The y - values (second elements) are \(5\), \(-4\), \(-5\), \(-6\), \(7\).

Step3: Arrange the y - values in a set (order does not matter, and we remove duplicates, but here all are unique)

When we list these y - values, we get \(\{-6,-5,-4,5,7\}\).

Answer:

\(\{-6, - 5, - 4, 5, 7\}\) (the option with this set)