The function f(x) is given by the set of ordered pairs.

{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

Given the function \( f(x) \) represented by the set of ordered pairs:

\[
\{(1,0), (-10,2), (0,6), (3,17), (-2,-1)\}
\]

Each ordered pair represents a value of \( x \) and its corresponding output \( f(x) \). Therefore, we can list the function values as follows:

- \( f(1) = 0 \)
- \( f(-10) = 2 \)
- \( f(0) = 6 \)
- \( f(3) = 17 \)
- \( f(-2) = -1 \)

This simply means the function \( f(x) \) associates each \( x \)-value with the corresponding \( f(x) \)-value in the set. Since it is a set of distinct ordered pairs, \( f(x) \) is a well-defined function, meaning for each \( x \), there is a unique \( f(x) \).

Would you like further analysis, such as determining if this is an injective or surjective function? Or, perhaps you're looking for how to interpret these values in a graph?

Here are 5 related questions you might explore:
1. Is the function \( f(x) \) injective (one-to-one)?
2. Can you determine if the function \( f(x) \) is surjective onto any codomain?
3. How would you graph these ordered pairs on a coordinate plane?
4. Can you interpolate the function values between these points?
5. Is there a potential linear or quadratic function that fits these points?

**Tip:** When plotting functions based on ordered pairs, always ensure the domain (input \( x \)) has unique values for a well-defined function.

The function f(x) is given by the set of ordered pairs: {(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

Explore how to interpret the function f(x) from a set of ordered pairs: {(1,0), (–10,2), (0,6), (3,17), (–2,–1)}. Learn key concepts of functions and relations with clear explanations, suitable for students in Grades 6-8.

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