Even functions
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A function is even when its value is the same for both positive and negative inputs. Even functions have properties where the sum and product of even functions are even, and their graphs are symmetric about the y-axis, remaining unchanged after reflection across the vertical line.
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Even functions
- 1. Even Functions A function is even when f(x)=f(-x) for all x Properties • A sum of even functions is even. In fact, the even functions form a real vector space. •The product of two even functions is an even function. •The graph of even functions are symmetric about the y-axis. That its graph remains unchanged after reflection about the y-axis.