Question

Describe in words the difference between the meaning of f(1) and f(x) = 1

Answer 1

f(1) would be the value of the function (or the y-value) of the point where x = 1.

f(x) = 1 would be where the function equals 1. This function is equal to 1 for all real x values, and would appear as a straight, horizontal line on a graph at y = 1.