An even function defined on (-$\infty$, $\infty$) may have an inverse.

Name: An even function defined on (-$\infty$, $\infty$) may have an inverse.
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Question

Quizplus · Accepted Answer

An even function is symmetric about the y-axis, meaning for every x, f(x) = f(-x). This symmetry implies that the function does not pass the horizontal line test, which is necessary for a function to have an inverse, as it would not be one-to-one on the interval (-∞, ∞).

An Even Function Defined on (- ∞\infty∞ ∞\infty∞ ) May Have an Inverse

An Even Function Defined on (- $\infty$ $\infty$ ) May Have an Inverse