Subject: Mathematics
Book: Maths Mastery
Piecewise functions are defined by different expressions for different intervals. For example: f(x)= { x+1 if x<0, x² if x≥0 }. Graph each part on its domain segment, possibly using open or closed dots at boundary points. These functions model real scenarios with conditional rules (tax brackets, shipping rates, or step-based processes). Mastering piecewise graphs fosters clarity in analyzing abrupt changes or merges in data. It also aids advanced calculus where piecewise definitions manage discontinuities or absolute values.
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