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If the point \( (7, 8) \) lies on the graph of a function \( f \), this means that when \( x = 7 \), the corresponding \( y \)-value is \( 8 \). In other words, the function evaluated at \( 7 \) gives \( 8 \), or:

\[
f(7) = 8
\]

Thus, the correct answer is:

\[
f(7) = 8
\]

Would you like any further details or clarification? Here are five related questions:

1. What does it mean for a point to lie on the graph of a function?
2. How can you determine if a given point satisfies a function?
3. What is the general relationship between points on a graph and function evaluations?
4. What other types of questions can involve function evaluation like this?
5. How do you find the equation of a function given multiple points on its graph?

**Tip:** Remember, the notation \( f(x) \) always refers to the \( y \)-value (or output) corresponding to the input \( x \).

Learn how to determine if a point lies on the graph of a function with this example: If (7, 8) lies on the graph of f, then f(7) = 8. This problem introduces key concepts in functions, graphing, and coordinate geometry. Suitable for students in Grades 8-10.

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