![]() Note that there is an example of a piecewise function’s inverse here in the Inverses of Functions section. ![]() Thus, the \(y\)’s are defined differently, depending on the intervals where the \(x\)’s are. The easiest way to think of them is if you drew more than one function on a graph, and you just erased parts of the functions where they aren’t supposed to be (along the \(x\)’s). Piecewise functions (or piece-wise functions) are just what they are named: pieces of different functions (sub-functions) all on one graph. Obtaining Equations from Piecewise Function Graphs How to Tell if a Piecewise Function is Continuous or Non-Continuous Applications of Integration: Area and Volume.Exponential and Logarithmic Integration.Riemann Sums and Area by Limit Definition.Differential Equations and Slope Fields.Antiderivatives and Indefinite Integration, including Trig.Derivatives and Integrals of Inverse Trig Functions.Exponential and Logarithmic Differentiation.Differentials, Linear Approximation, Error Propagation.Curve Sketching, Rolle’s Theorem, Mean Value Theorem.Implicit Differentiation and Related Rates.Equation of the Tangent Line, Rates of Change.Differential Calculus Quick Study Guide.Polar Coordinates, Equations, and Graphs.Law of Sines and Cosines, and Areas of Triangles.They begin with an informal exploration of domain and range using a graph, and build up to representing the domain and range of piecewise functions using inequalities. Linear, Angular Speeds, Area of Sectors, Length of Arcs In this activity, students practice finding the domain and range of piecewise functions.Conics: Circles, Parabolas, Ellipses, Hyperbolas. ![]()
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