How do you find the value of f(4) for the function f(x) = 2x² + 4x + 7?

To find the value of f(4), we need to evaluate the function f(x) at x = 4. The given function is:

f(x) = 2x² + 4x + 7

Now, let’s substitute x = 4 into the function:

1. First, calculate 2(4)²:
   • (4)² = 16
   • 2 × 16 = 32
2. Next, calculate 4(4):
   • 4(4) = 16
3. Finally, add those results along with the constant 7:
   • 32 + 16 + 7 = 55

Therefore, f(4) = 55.