Which set represents the range of the function shown?

{(8, 2), (6, 5), (4, 7), (11, −2)}

 {−2, 2, 5, 7}
 {4, 6, 8, 11}
 {(2, 8), (5, 6), (7, 4), (−2, 11)}
 {−2, 2, 4, 5, 6, 7, 8, 11}

The range of a function consists of all the possible output values, which correspond to the second element in each ordered pair.

Given the set of points:
\[
\{(8, 2), (6, 5), (4, 7), (11, -2)\}
\]
The second elements (or \(y\)-values) of these points are: \(2\), \(5\), \(7\), and \(-2\).

Thus, the set that represents the range is:
\[
\{-2, 2, 5, 7\}
\]

The correct answer is:
\[
\{-2, 2, 5, 7\}
\]

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. What is the domain of the given function?
2. How do you differentiate between the domain and the range of a function?
3. How do you determine the range of a quadratic function?
4. Can a function have the same range but different domains?
5. How do you graph a function given a set of points?

**Tip**: To find the range of a function from a set of ordered pairs, focus on the second elements in each pair!

Which set represents the range of the function shown? {(8, 2), (6, 5), (4, 7), (11, −2)} {−2, 2, 5, 7} {4, 6, 8, 11} {(2, 8), (5, 6), (7, 4), (−2, 11)} {−2, 2, 4, 5, 6, 7, 8, 11}

Learn how to find the range of a function from a set of ordered pairs such as {(8, 2), (6, 5), (4, 7), (11, −2)}. This example highlights key concepts in functions and how to identify the set of possible outputs (range). Suitable for Grades 7-8 students.

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