Here are the answers to your questions:
11. To determine if a function is even, odd, or neither from its graph, I look at the symmetry. An even function is symmetrical about the y-axis, an odd function is symmetrical about the origin, and a function that is neither has no clear line of symmetry.
12. To determine if a function is even, odd, or neither from its equation, I analyze the exponents of x. An even function will have only even exponents of x, an odd function will have only odd exponents of x, and a function with a mix of even and odd exponents is neither.
13. An example of an even function is f(x) = x^2
Gives idea about function, one to one function, inverse function, which functions are invertible, how to invert a function and application of inverse functions.
Gives idea about function, one to one function, inverse function, which functions are invertible, how to invert a function and application of inverse functions.
10 Design Trends 2015 - UX & UI Trends for Mobile SolutionsDMI
Do you create or provide a mobile app or web solution? Even if you already have the user interface (UI) and user experience (UX) nailed down to a T, you're never quite finished. With different design elements and solutions going in and out of fashion, you constantly have to ensure that your solution doesn't start to feel dated.
Here's our shortlist of the most exciting things going on in UX/UI Design right now and what we can expect to see in this space in a not too distant future!
From the SMX West Conference in San Jose, California, March 1-3, 2016. SESSION: What You Need To Know About Apple iOS App Search & Universal Links. PRESENTATION: Apple: The Next King of Search - Given by Ian Sefferman, @iseff - MobileDevHQ, CEO. #SMX #32A
When Office 365 files are uploaded as a submission, later changes made to the...YohannesAndualem1
If your course has enabled Microsoft Office 365, you can upload a file from your Microsoft OneDrive for an assignment.
Like other file upload submissions, files uploaded from Office 365 are uploaded into your Canvas user files submissions folder.
Canvas accepts Microsoft Word, Microsoft PowerPoint, Microsoft Excel, and PDF types.
Notes:
If the Office 365 tab is not available in your submission, your institution has not enabled this feature.
Canvas will require you to authorize access to your OneDrive account.
In Office 365 assignments, you can only submit one file for your submission.
When Office 365 files are uploaded as a submission, later changes made to the file in OneDrive will not be updated in the submission.
If enabled in your account, Canvas plays a celebration animation when you submit an assignment on time. However, if you prefer, you can disable this feature setting in your user settings.
If the assignment you are accessing displays differently, your assignment may be using the Assignment Enhancements feature. Please view this guide for more information.
If your course has enabled Microsoft Office 365, you can upload a file from your Microsoft OneDrive for an assignment.
Like other file upload submissions, files uploaded from Office 365 are uploaded into your Canvas user files submissions folder.
Canvas accepts Microsoft Word, Microsoft PowerPoint, Microsoft Excel, and PDF types.
Notes:
If the Office 365 tab is not available in your submission, your institution has not enabled this feature.
Canvas will require you to authorize access to your OneDrive account.
In Office 365 assignments, you can only submit one file for your submission.
When Office 365 files are uploaded as a submission, later changes made to the file in OneDrive will not be updated in the submission.
If enabled in your account, Canvas plays a celebration animation when you submit an assignment on time. However, if you prefer, you can disable this feature setting in your user settings.
If the assignment you are accessing displays differently, your assignment may be using the Assignment Enhancements feature. Please view this guide for more information.
If your course has enabled Microsoft Office 365, you can upload a file from your Microsoft OneDrive for an assignment.
Like other file upload submissions, files uploaded from Office 365 are uploaded into your Canvas user files submissions folder.
Canvas accepts Microsoft Word, Microsoft PowerPoint, Microsoft Excel, and PDF types.
Notes:
If the Office 365 tab is not available in your submission, your institution has not enabled this feature.
Canvas will require you to authorize access to your OneDrive account.
In Office 365 assignments, you can only submit one file for your submission.
When Office 365 files are uploaded as a submission, later changes made to the file in OneDrive will not be updated in the submission.
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Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
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Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
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Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
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An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
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2. Reflection Symmetry
Reflection Symmetry (sometimes called Line
Symmetry or Mirror Symmetry) is easy to
recognize, because one half is the reflection of
the other half.
Here is a dog. Her face
made perfectly
symmetrical with a bit
of photo magic.
The white line down
the center is the Line
of Symmetry.
3. Reflection Symmetry
The reflection in this lake also has
symmetry, but in this case:
the Line of Symmetry is the horizon
it is not perfect symmetry, because the
image is changed a little by the lake surface.
4. Line of Symmetry
The Line of Symmetry (also called the
Mirror Line) does not have to be up-
down or left-right, it can be in any
direction.
~But there are four
common directions, and
they are named for the
line they make on the
standard XY graph.
5. Examples of Lines of Symmetry
Line of Symmetry Sample Artwork Example Shape
6. Examples of Lines of Symmetry
Line of Symmetry Sample Artwork Example Shape
7. Even & Odd Functions
Degree: highest exponent of the
function
Constants are considered to be even!
Even degrees:
Odd degrees:
( )f x x 3
( ) 2f x x
2
( ) 5f x x 0
( ) 4 4*1 4f x x
8. Even Functions
EVEN => All exponents are EVEN
Example:
y-axis symmetry
( ) ( )f x f x
2
( ) 7f x x
9. Odd Functions
ODD => All exponents are ODD
Example:
origin symmetry
( ) ( )f x f x
3
( ) 3f x x x
10. NEITHER even nor odd
NEITHER => Mix of even and odd
exponents
Examples:
4 32
( ) 5
3
f x x x
3
( ) 6 2f x x
11. Leading Coefficient (LC)
The coefficient of the term with the
highest exponent
2 Cases:
LC > 0
LC < 0
Agree?!?!
12. End Behavior
What happens to f(x) or y as x
approaches -∞ and +∞
We can figure this out quickly by
the two things we’ve already
discussed
Degree of function (even or odd)
Leading coefficient (LC)
Let’s look at our 4 cases…jot these
down in your graphic organizer!
13. Case #1: Even Degree, LC > 0
Example:
Both ends go toward +∞
2
( )f x x
14. Case #2: Even Degree, LC < 0
Example:
Both ends go toward -∞
2
( )f x x
15. Case #3: Odd Degree, LC > 0
Example:
3
( )f x x
“match”
, ( )x f x
, ( )x f x
16. Case #4: Odd Degree, LC < 0
Example:
3
( )f x x
, ( )x f x
, ( )x f x
“opposites”
17. Show what you know…
1. Determine if the following functions
are even, odd, or neither by
analyzing their graphs.
2. Explain why you chose your answer.
18. #1
Answer:
This function is neither
even nor odd. I chose
this answer because it is
not symmetrical with
respect to the origin or
the y-axis.
19. #2
Answer:
This function is neither even nor
odd. I chose this answer because
it is not symmetrical with respect
to the origin or the y-axis.
20. #3
Answer:
This is an even
function. I know this
because it is
symmetrical with
respect to the y-axis.
In other words, I
could fold it at the y-
axis and it is
symmetrical.
21. #4
Answer:
This is an even
function. I know
this because it is
symmetrical with
respect to the y-
axis. In other
words, I could
fold it at the y-
axis and it is
symmetrical.
22. Determine if the following are even, odd, or
neither. (Do these on your paper and check your
answers on the next slide)
5.
6.
7.
8.
9.
10.
2
( ) 3 4f x x
3
( ) 2 4f x x x
2 3
( ) 3 2 4 4f x x x x
2 32
( ) 4
3
f x x x
2
( ) 5 9f x x
3
( ) 2f x x x
24. Answer the following:
(submit these answers in the assignment drop box)
11. Explain how you know a function
is even, odd, or neither when you are
looking at the graph? (like in questions 1-4)
12. Explain how you know a function
is even, odd, or neither when you are
looking at the equation? (like in questions 5-10)
13. Write an even function.
14. Write an odd function.
15. Write a function that is neither.