Even and odd functions
Is the function even, odd, or neither????f(x)=x^5-3x^3??? To solve algebraically we need to find ???f(-x)???, so we’ll replace all ???x???’s with ???-x???.???f(-x)=(-x)^5-3(-x)^3???
Even and Odd. The only function that is even and odd is f(x) = 0. Special Properties. Adding: The sum of two even functions is even; The sum of two odd functions is odd; The sum of an even and odd function is neither even nor odd
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My Precalculus course: https://www.kristakingmath.com/precalculus-courseLearn how to determine whether a function is an even function, an odd function, or
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1. Review opposite variables. In algebra, the opposite of a variable is written a2. Replace each variable in the function with its opposite. Do not alter the orig3. Simplify th See more
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If a function is even, the graph is symmetrical about the y- axis. If the function is odd, the graph is symmetrical about the origin. Even function: The mathematical definition of
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What makes a function even or odd? DEFINITION. A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for
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