From 0791616e858e06dcfe56ca229a3f6d6c111d1ede Mon Sep 17 00:00:00 2001 From: Alexander Molnar <37451552+BTmathic@users.noreply.github.com> Date: Tue, 13 Nov 2018 02:22:54 -0500 Subject: [PATCH] Fixed typos (#34312) Fixed copy/pasting(?) typos, also changed the 'because' in each example to explain the why instead of just showing it's true for a single number, not mentioning any others. (Proof by example is very, very, VERY bad to encourage.) --- .../mathematics/even-and-odd-functions/index.md | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/guide/english/mathematics/even-and-odd-functions/index.md b/guide/english/mathematics/even-and-odd-functions/index.md index 3000a2bc42..73c26f1cb1 100644 --- a/guide/english/mathematics/even-and-odd-functions/index.md +++ b/guide/english/mathematics/even-and-odd-functions/index.md @@ -5,23 +5,23 @@ title: Even and Odd Functions ### General Functions -A function `f` is a mapping from a set A (input/domain) to an set B (output/co-domain). It can be of different types on the basis of a number of classifications. +A function `f` is a mapping from a set A (input/domain) to a set B (output/co-domain). ### Even Function: A function `f(x)` is even if and only if `f(x) = f(-x)`. -An example of an even function would be `f(x) = x^2` because `f(2) = 2^2 = 4 = (-2)^2 = f(-2)`. +An example of an even function would be `f(x) = x^2` because `(-x)^2 = x^2`. For example, `f(2) = 2^2 = 4 = (-2)^2 = f(-2)`. The trigonometric functions - `cos(x)` and `sec(x)` are also even functions ### Odd Function -A function `f(x)` is even if and only if `f(x) = -f(-x)` +A function `f(x)` is odd if and only if `f(x) = -f(-x)` -An example of an odd function would be `f(x) = x^3` because `f(2) = 2^3 = 8 = -(-8) = -(-2)^3 = -f(-2)`. +An example of an odd function would be `f(x) = x^3` because `(-x)^3 = -x^3`, so `-(-x)^3 = x^3`. For example, `f(2) = 2^3 = 8 = -(-8) = -(-2)^3 = -f(-2)`. -The trigonometric functions - `sin(x)`, `tan(x)`,`cot(x)` and `cosec(x)` are also even functions +The trigonometric functions - `sin(x)`, `tan(x)`,`cot(x)` and `cosec(x)` are also odd functions #### More Information: