Question

find the range of the function defined by the set of points below. express your answer as a set of numbers.
(-8,7),(10,5),(-6,8),(-7,1),(-5,-5),(-2,-3),(5,9)
answer attempt 1 out of 2
add value no value
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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 (outputs) from the ordered pairs.

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

For the ordered pairs \((-8,7)\), \(y = 7\); \((10,5)\), \(y = 5\); \((-6,8)\), \(y = 8\); \((-7,1)\), \(y = 1\); \((-5,-5)\), \(y=- 5\); \((-2,-3)\), \(y = - 3\); \((5,9)\), \(y=9\).

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

The \(y\)-values are \(7,5,8,1, - 5,-3,9\). When we form a set, we list each unique value. So the set of these values is \(\{-5, - 3,1,5,7,8,9\}\).

Answer:

\(\{-5, - 3,1,5,7,8,9\}\)