For the function f(x) = 8 + 2x², find f(1) and determine whether f(1) is a function.

To find f(1), we will substitute x with 1 in the function f(x) = 8 + 2x².

Substituting, we get:

f(1) = 8 + 2(1)²

This simplifies to:

f(1) = 8 + 2(1) = 8 + 2 = 10

So, f(1) = 10.

Now, regarding whether f(1) is a function: the notation f(1) refers to the output of the function f when the input is 1. In this case, it is simply a numerical value (10), not a function itself. Therefore, while f(x) is a function (mapping inputs to outputs), f(1) is just a specific output and does not represent a function.