Piecewise Functions

Piecewise Functions

Warm-up Question:

• A piecewise function is a function defined by different expressions depending on the input value.
• It can be thought of as a function that changes its rule based on the interval being considered.
• For example, a taxi fare might have a different rate for the first 5 miles and a different rate afterward.
• These functions are written using multiple parts, each with its own formula, connected with conditions like x < 5 or x ≥ 5.
• They are useful for modeling real-life situations where behavior changes at specific points, especially in math, economics, and science.