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Questions and Answers
What is a piecewise function?
What is a piecewise function?
A piecewise function is a function that is defined by multiple different rules or formulas, depending on the input value or domain.
How is a piecewise function represented mathematically?
How is a piecewise function represented mathematically?
A piecewise function is typically represented using brackets and different rules or formulas for different intervals or conditions. For example, f(x) = {x^2 if x > 0, -x if x <= 0} represents a piecewise function with two rules based on the value of x.
What is the purpose of using a piecewise function?
What is the purpose of using a piecewise function?
Piecewise functions are useful for representing different behaviors or conditions within a single function. They allow for more flexibility and accuracy in modeling real-world situations or mathematical problems that have specific conditions or constraints.