It seems like you're providing a set of points and asking to determine \( f(1) \), where \( f \) is a function defined by these points.

The given points are:

\[
(1, 9), (-2, 8), (-4, 10), (-5, 7)
\]

In this case, each point is of the form \( (x, f(x)) \). So, the function \( f(x) \) at \( x = 1 \) is simply the \( y \)-coordinate of the point where \( x = 1 \).

From the first point \( (1, 9) \), we see that:

\[
f(1) = 9
\]

Would you like to explore how this function behaves for other values of \( x \), or how to derive a potential function rule from these points?

Here are some related questions:
1. How can you derive a function \( f(x) \) from a set of points?
2. What type of function might fit this set of points (e.g., linear, quadratic)?
3. How would you calculate \( f(x) \) for \( x = -2 \)?
4. Can a function have multiple values for the same \( x \)-coordinate?
5. How does interpolation work for constructing functions from a set of points?

**Tip:** If you have multiple points, you can try to fit a specific type of function (like linear or quadratic) by using techniques such as solving systems of equations.

The query submitted by the user: {(1,9),(-2,8),(-4,10),(-5,7)} f(1)

Learn how to evaluate the function f(1) from a given set of points. This example uses coordinate geometry and point-value evaluation to solve f(x) for x = 1. Suitable for students in Grades 6-8.

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