A piecewise function is a function built from pieces of different. A step function is discontinuous cannot draw a step function without removing your pencil from your paper. The constant pieces are observed across the adjacent intervals of the function, as they change value from one interval to the next. For example, 'If x<0, return 2x, and if x0, return 3x.' These are called piecewise functions, because their rules aren't uniform, but consist of multiple pieces. Step Functions A step function or staircase function is a piecewise function containing all constant 'pieces'. To offer financial support, visit my Patreon page. Some functions have simple rules, like 'for every x, return x.' However, there can be other rules that are more elaborate. We are open to collaborations of all types, please contact Andy at for all enquiries. The clear explanations, strong visuals mixed with dry humor regularly get millions of views. Andymath content has a unique approach to presenting mathematics. Visit me on Youtube, Tiktok, Instagram and Facebook. In the future, I hope to add Physics and Linear Algebra content. From well take pairs with nonnegative domain values. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators. Topics cover Elementary Math, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. The Absolute Value function is made from pieces of two linear functions: and.
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