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.