Download presentation

1
**Symmetric about the y axis**

FUNCTIONS Symmetric about the origin

2
**Even functions have y-axis Symmetry**

8 7 6 5 4 3 2 1 2 -7 -6 -5 -4 -3 -2 -1 1 5 7 3 4 6 8 -2 -3 -4 -5 -6 -7 So for an even function, for every point (x, y) on the graph, the point (-x, y) is also on the graph.

3
**Odd functions have origin Symmetry**

8 7 6 5 4 3 2 1 2 -7 -6 -5 -4 -3 -2 -1 1 5 7 3 4 6 8 -2 -3 -4 -5 -6 -7 So for an odd function, for every point (x, y) on the graph, the point (-x, -y) is also on the graph.

4
x-axis Symmetry We wouldn’t talk about a function with x-axis symmetry because it wouldn’t BE a function. 8 7 6 5 4 3 2 1 2 -7 -6 -5 -4 -3 -2 -1 1 5 7 3 4 6 8 -2 -3 -4 -5 -6 -7

5
**A function is even if f( -x) = f(x) for every number x in the domain.**

So if you plug a –x into the function and you get the original function back again it is even. Is this function even? YES Is this function even? NO

6
**A function is odd if f( -x) = - f(x) for every number x in the domain.**

So if you plug a –x into the function and you get the negative of the function back again (all terms change signs) it is odd. Is this function odd? NO Is this function odd? YES

7
**If a function is not even or odd we just say neither (meaning neither even nor odd)**

Determine if the following functions are even, odd or neither. Not the original and all terms didn’t change signs, so NEITHER. Got f(x) back so EVEN.

8
Acknowledgement I wish to thank Shawna Haider from Salt Lake Community College, Utah USA for her hard work in creating this PowerPoint. Shawna has kindly given permission for this resource to be downloaded from and for it to be modified to suit the Western Australian Mathematics Curriculum. Stephen Corcoran Head of Mathematics St Stephen’s School – Carramar

Similar presentations

OK

(r, ). You are familiar with plotting with a rectangular coordinate system. We are going to look at a new coordinate system called the polar coordinate.

(r, ). You are familiar with plotting with a rectangular coordinate system. We are going to look at a new coordinate system called the polar coordinate.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Marketing mix ppt on sony Ppt on places in our neighbourhood clip Scrolling message display ppt on ipad Free ppt on mobile number portability ppt Ppt on power system harmonics Ppt on non destructive testing Ppt on seasons in arabic Ppt on seven wonders of the world 2013 Ppt on harmful effects of fast food Ppt on isobars and isotopes definition