Definition of a Function
A function describes a unique relationship between an input and an output. Each input corresponds to one output, denoted f(x).
Types of Functions
Linear functions (f(x) = mx + b) have a constant rate and graph as lines. Quadratic functions (f(x) = ax^2 + bx + c) graph as parabolas. Exponential functions show rapid change.
Evaluating Functions:
Substitute values into f(x) to find outputs. Example: if f(x) = 3x + 2, then f(2) = 3(2) + 2 = 8.