## Even odd or neither f(x) = x^2?

To figure out if a function is even, odd, or neither, the best way to do so is to graph it (easiest way with a graphing calculator). Without a graph you can determine if a function could be one of the three by picking a handful of positive integers and their corresponding negatives and judge the results.
If f(-x) = f(x) across the integers (meaning they mirror one another) then it is likely even
if f(-x) = -f(x) across the integers (meaning the f(x) integers are of opposite +/- value) then it is likely odd
if f(-x) ≠ f(x) across the integers (meaning there is no correspondence then it is likely neither.

Try -5 -3, -1, 0, 1, 3, 5 in the equation above
(-5)^2=25
(-3)^2=9
(-1)^2=1
(0)^2=0
(1)^2=1
(3)^2=9
(5)^2=25
Conclusion is it is even

## What is the best lottery website on the internet?

There are plenty of sites on the Internet, it would depend of your tastes.
Most of them are WWW (World Wide Web) sites with multimedia contend.

Some examples:
For PowerBall:
Yes, there is a site to play [ the Australian ] PowerBall .
Http://www.ozlotteries.com/

Direct from OZ!
But you will receive some electronic mails. You could get a *FREE* account but you need to register your real name!
It is possible to sign in for a \$5.00 free bonus .
Http://www.ozlotteries.com/
Promotional code: OZLOTTERIES01

Free Systems:
http://www.psychicjackpot.com/
http://www.lottotrix.com/
[^^^ „Lotto : the best lotto system of all lotto systems“ ]

Free Lotto Analysis and results.
Http://www.lottery.com/

Forums:
http://www.lotto649.ws/

Predictions:
http://www.lotterypost.com/

Lotto odds calculator:
http://www.lottogenie.com/
http://www.lottogenie.com/html/odds.html

## Is this an even or odd function?

Please help! is this an even function: H(x) = sin(x)cos(x) / 2tan^2(x) , and how do I tell?

Evaluate H(-x)

If H(-x) = H(x) it’s even
If H(-x) = -H(x) it’s odd

If neither is true, it’s neither even nor odd.

H(-x) = sin(-x)cos(-x)/2tan^2(-x)
Simplifying
H(-x) = -sin(x)cos(x)/2tan^2(x)

Since H(-x) = -H(x) the function is odd.

If you have a graphing calculator, odd functions are symmetric around the line y=x; even function are symmetric about the y-axis.

## Odds of winning at all?

So lets just say in this situation, I place a bet on something with a 60% chance to win, something with a 25% chance to win, and something with 20% chance to win. What is the percent chance I will win anything on the next outcome?

If you mean the chance of winning at least one of those:

= 100% – (chance you lose all 3) = 1 – (.4)(.75)(.8) = 76%
(That’s exact.)

Edit — oops fixed it. In my calculator I had 1 – (1 – that)…too many „one minuses“

## FTOPS Main event?

That’s actually a pretty easy read. Without knowing anything about your opponents, I put them on the same hands as you before getting to the end of your question. You of course had the benefit of observing their play first-hand and were able use that to further bolster your read.

That’s only half the problem, though. If you consider the chances of either player beating you, they collectively have between 16 and 19 outs depending on whether the flush drawer has one or two overcards to your jacks.

This is excluding backdoor flush or straight possibilities for the competition or hitting a set (and it holding up) or boat for you, but the odds aren’t especially great for any of these scenarios.

I don’t have an odds calculator, but I believe with 16 outs for the bad guys and two cards to come, your chances of winning are only about one in three. With 19 outs for the bad guys, you’re an even bigger dog.

Yes, on the surface this looks like a nice read (it is) and a suckout, but the truth of the matter is in a roundabout way, you’re behind.

Here’s the wildcard, though: Your decision is to call your last 5,900 to win a main pot of 12,300 (after your call) in which you’re a dog and/ or a side pot of 4,800 (after your call) in which you’re the favorite. Applying the theory of pot odds (in this case based strictly on winning the hand rather than completing a draw), you find yourself risking 5,900 to win 11,200 (not including your own money), 2,400 of which you’re a favorite to win.

Or put another way, you have about a one in three chance of going broke, but will likely go from 5,900 chips to 4,800 (not a big difference). AND… You very well may go from 5,900 to 17,100 chips!!!

So even though you’re a dog for the main pot, you’re getting proper odds to call from a risk-reward perspective.

Note: If both players had you covered, however, the correct play would be to fold.