To evaluate the function $f(x) = 2x^2 - 3x + 1$ for $x = 3$, follow these steps:

1. Substitute $x = 3$ into the function: $f(3) = 2(3)^2 - 3(3) + 1$

2. Calculate $3^2$: $3^2 = 9$

3. Multiply by 2: $2 \times 9 = 18$

4. Multiply $-3$ by 3: $-3 \times 3 = -9$

5. Add the results: $f(3) = 18 - 9 + 1 = 10$

So, $f(3) = 10$.

Would you like more details or have any questions?

Here are some related questions:

1. What is the value of $f(x) = 2x^2 - 3x + 1$ when $x = -1$?
2. How does the graph of $f(x) = 2x^2 - 3x + 1$ look?
3. What is the vertex of the function $f(x) = 2x^2 - 3x + 1$?
4. For what values of $x$ does $f(x) = 0$?
5. How does changing the coefficient of $x^2$ in the function affect its graph?

Tip: When evaluating functions, substitute the given value of $x$ carefully, and follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).