How do you evaluate the function f(x) = 2x² + 3x + 5 for the input value of 3?

To evaluate the function f(x) = 2x² + 3x + 5 for the input value of 3, you need to substitute 3 in place of x in the function.

Here are the steps to do so:

1. Substitute 3 for x in the function:

f(3) = 2(3)² + 3(3) + 5

2. Now, calculate the value of (3)²:

(3)² = 9

3. Next, plug this value back into the function:

f(3) = 2(9) + 3(3) + 5

4. Calculate 2(9):

2(9) = 18

5. Now calculate 3(3):

3(3) = 9

6. Now, put everything together:

f(3) = 18 + 9 + 5

7. Add these values:

18 + 9 + 5 = 32

So, the value of the function f(x) at x = 3 is 32.