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- Please no inappropriate usernames (remember that there may be youngsters in the room)
- Personal attacks on other community members are unacceptable, practice the good manners your mama taught you when engaging with fellow Dawg fans
- Use common sense and respect personal differences in the community: sexual and other inappropriate language or imagery, political rants and belittling the opinions of others will get your posts deleted and result in warnings and/ or banning from the forum
- 3/17/19 UPDATE -- We've updated the permissions for our "Football" and "Commit to the G" recruiting message boards. We aim to be the best free board out there and that has not changed. We do now ask that all of you good people register as a member of our forum in order to see the sugar that is falling from our skies, so to speak.
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What is more pathetic is the lack of UVs. Some put a lot into making a infotaining comment. And for that they may get ZERO UVs *. So, most of the mass that chooses not to vote at all, that is their decision - be lumps with no affect. For me, and other high character folks like me, I want commenters to know that their comments registered, for good or ill. But that is just me (and other HIGH character folks like me). /* But for me and other HIGH character folks like me. 😉
F(x) = x^2 is both increasing and decreasing.
Those were painful days for me. It's been a while, but I'm sure you know that assumptions don't mean anything in math. Test for one to one and then for onto. Then bijection is known rather than assumed.
"High character folks" I like it. I also respect your rationale.
That's all I've got. And I'm proud of that.
Very good @Bankwalker! Count me impressed. @JoelSidneyKelly, the part with the {1}’s at the start means that this function takes place on a single point. For the record, this function is indeed bijectice (invective and surjective), and it is also not only increasing and decreasing but also strictly increasing and strictly decreasing.
Also, just so we’re being comprehensive, and no one is being misled, if the function was f: R-->R;f(x) = x^2, R being all real numbers for the domain and codomain, then the graph would look like JSK’s, but the function would not be increasing, decreasing, injective, or surjective.
Come on @YaleDawg, you’re Ivy League. You probably do this ish while drinking your morning coffee.
I'm no mathematician. Been forever since I took a math course. Everything I do is either biochemistry or biophysics. But I think I do know the answer to this
OT - as is the above: Unfamiliar with the notation. The second part reads, the function of x (what happens to x) equal to (when) x is raised to the second power (x is squared). How is the bolded part expressed in words? I imagine from the resultant discussion, it is some limit on the value of x. Never saw the --> or the braces, but didn't do much college math. Plus math terminology seems to change frequently. Need to keep ahead of the pocket/phone calculators, I guess.
how did I miss this thread? pure gold right here