To evaluate the function \( f(x) = 2x^2 + 7x + 5 \) at \( x = 0 \), substitute \( x = 0 \) into the function:

\[
f(0) = 2(0)^2 + 7(0) + 5
\]

Simplifying the expression:

\[
f(0) = 2(0) + 0 + 5 = 5
\]

So, \( f(0) = 5 \).

Would you like more details or have any questions?

Here are some related questions you might consider:

1. What is \( f(1) \) for the same function?
2. How does the function \( f(x) \) behave as \( x \) increases?
3. What are the roots of the function \( f(x) = 0 \)?
4. How would the graph of \( f(x) \) look like?
5. What is the vertex of the parabola represented by \( f(x) \)?

**Tip:** When evaluating a function at a specific point, always substitute the value directly into the function and simplify carefully.

Learn how to evaluate the function f(x) = 2x^2 + 7x + 5 at x = 0 with a detailed step-by-step solution. This problem covers key algebraic concepts, including quadratic equations and function evaluation. Suitable for students in Grades 7-9.

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