Evaluate the function f(x) = 2x² + 3x + 5 for the input value 3

To evaluate the function f(x) = 2x² + 3x + 5 for the input value x = 3, we simply substitute 3 into the function.

Here are the steps:

1. Substitute 3 for x in the function:
2. f(3) = 2(3)² + 3(3) + 5

Now, let’s calculate each term:

• (3)² = 9, so 2(3)² = 2 * 9 = 18
• 3(3) = 9
• The constant term is 5

Now, add these results together:

f(3) = 18 + 9 + 5 = 32

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