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find the range of the function defined by the table below. express your…

Question

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

xy
65
5-7
-77
-2-10
90
-4-4
3-5

answer attempt 1 out of 2
+ add value - no value
{ } submit answer

Explanation:

Step1: Recall the definition of range

The range of a function is the set of all output values (y - values) of the function.

Step2: Identify all y - values from the table

From the table, the y - values are \(5\), \(- 7\), \(7\), \(-10\), \(0\), \(-4\), \(-5\).

Step3: Write the range as a set

We list all the unique y - values in a set. So the range is \(\{-10, - 7, - 5, - 4, 0, 5, 7\}\) (we can also list them in any order, but usually in ascending or descending order for clarity).

Answer:

\(\{-10, - 7, - 5, - 4, 0, 5, 7\}\)