What is the definition of an even function??
$$ f(x) = f(-x) $$
What is the definition of an odd function??
$$ -f(x) = f(-x) $$
What is the parity of $x^2$??
Even
What is the parity of $x^3$??
Odd
What is special geometrically about even functions??
The function is symmetric with the $y$-axis.
What is special geometrically about odd functions??
The function has $180^{\circ}$ rotational symmetry with respect to the origin.
What is the parity of $\sin x$??
Odd
What is the parity of $\cos x$??
Even
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date: 2020-11-11 18:34
tags:
- '@?school'
- '@?further-maths'
- '@?public'
- '@?a-level'
title: Further Maths - Odd and Even Functions