It seems you're trying to define a function. Based on your input, I assume the function is meant to be:

\[ f(x) = x^2 - 49 \]

This is a quadratic function in standard form, with a constant term of \(-49\).

Would you like to see a detailed breakdown of this function, such as its roots, graph, or domain and range?

Here are some related questions to explore further:
1. How do you find the roots of the quadratic function \( f(x) = x^2 - 49 \)?
2. What is the graph of \( f(x) = x^2 - 49 \) and how does it look?
3. How do you factor the expression \( x^2 - 49 \)?
4. What is the vertex of the function \( f(x) = x^2 - 49 \)?
5. How does \( f(x) = x^2 - 49 \) relate to transformations of the parent function \( y = x^2 \)?

**Tip**: The function \( f(x) = x^2 - 49 \) is a difference of squares, which can be factored as \( (x - 7)(x + 7) \).

Explore how to factor the quadratic function f(x) = x^2 - 49, a difference of squares, into (x - 7)(x + 7). This problem provides a detailed explanation of quadratic functions and factoring techniques, suitable for students in Grades 8-10.

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