Even and odd functions

Intro Lesson
25:46
Lesson: 1
5:14
Lesson: 2
5:24
Lesson: 3
6:31
Lesson: 4
3:27
Lesson: 5
9:21

Learn

Even and odd functions

If we are asked whether a given graph is symmetrical about the y-axis or not, it's easy to answer because we only need to see if there is a mirror image about the y-axis or not. But what if we are only given a function, but not the graph? In this section, we will broaden our knowledge about symmetry in functions while classifying symmetries algebraically, as well as learning the notion of odd and even functions.

Basic concepts: Reflection across the y-axis:

y = f(-x)

, Reflection across the x-axis:

y = -f(x)

Lessons

When

f(-x) = f(x),

function is even

f(-x) = -f(x),

function is odd

Introduction
What are even and odd functions?
• How to determine if it is an even or odd function graphically and algebraically?

1.
Determine if the function $f(x)=7x^9+12$ is even, odd, or neither

2.
Determine if the function $f(x)=3x^7+4x^5-90x^2$ is even, odd, or neither

3.
Determine if the function $f(x)=400xsin(x)$ is even, odd, or neither

4.
Determine if the function $y=4x^8+2x^4-7x^2$ is even, odd, or neither

5.
Determine if the function $y=7csc(x)+2tanx$ is even, odd, or neither

Even and odd functions

Even and odd functions

Lessons

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