one function
[one function|one function] One function is defined as f(x) = 1x - 2.
Definition
one function One function is defined as f(x) = 1x - 2. For any one-to-one function, its inverse satisfies f^{-1}(f(x)) = x and f(f^{-1}(x)) = x.
Mechanism
one function The inverse function of a one-to-one function can be graphed on the same axes as the original function using its graph. Evaluating the inverse at specific inputs allows construction of the inverse function's complete representation in many cases.
Effects
one function The grading system described represents a one-to-one function, as each letter input corresponds to a unique grade point average output. This ensures that no two inputs share the same output, maintaining a direct relationship between each letter and its corresponding grade point average.