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message 16751:
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Vanessa
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Apr 05, 2013 09:07PM

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Me: Aw, that sucks :( *hug*
Vanster wrote: "Me: It's just I got my chemistry and maths tests back, and I got 70's, and when that happens I just feel really stupid. ;n; I wish intelligence wasn't measured by maths and sciences in my school."
Me: That will change :) You're an incredibly smart girl and don't let yourself get weighed down. Everyone knows that highschool is about pushing yourself - willpower - motivation, not about smarts or intelligence which you will discover that roughly 90% of the people going to your school do not have, even if 40% of them are straight A students that excel at maths and sciences.
Vanster wrote: "Me: It's just I got my chemistry and maths tests back, and I got 70's, and when that happens I just feel really stupid. ;n; I wish intelligence wasn't measured by maths and sciences in my school."
Me: Do you need he'll? :(
:( *glomps Jo*
Me: Do you need he'll? :(
:( *glomps Jo*
Me: -._.- Mmm, thanks Whim. I have no other face to make. xD
Yeah. How do you find the asymptotes for logs and expotential functions?
Yeah. How do you find the asymptotes for logs and expotential functions?

Yeah. How do you find the asymptotes for logs and expotential functions?"
Me: Make this one (・∀・)
Jo wrote: "Me: *glomps Whim* I just hate it when friends are airheads."
Me: I know :(
@Ivi, I posted at the Lake :) http://www.goodreads.com/topic/show/6...

Me: right, so for the exponential function f(x)=a^x, (where a > 0) the asymptote is always the x-axis. When you have f(x)= (a^x) + w, then the entire graph will shift up (see the unless w is negative, in which case it would shift down) w units, including the asymptote, so the asymptote is y= w. there is no vertical asymptote for an exponential function. So if w = 3, the asymptote is y = 3. If w = -2 then y = -2. Let me find the one for the log.

Me: :((( Aw, I'm sorry you had to deal with that!
Vanster wrote: "Me: (・∀・)~
I'm bored right now so I'm going to draw all our characters as naminals. :3"
Me: Yay! :D
Me: Yeah, I do.
OK, so I completely understood that but I lost points on my test and I don't know why. :/ I put x = -5, and the graph shows the curve leveling out at -5 and not going any farther. I thought perhaps I was missing the vertical asymptote, but they don't have any, so.
OK, so I completely understood that but I lost points on my test and I don't know why. :/ I put x = -5, and the graph shows the curve leveling out at -5 and not going any farther. I thought perhaps I was missing the vertical asymptote, but they don't have any, so.
Me: right, so logarithms are the inverses of exponential equations, so the x of the exponential equation is the y of the log and vice versa. Given the function f(x) = log a (x), in which a>0, a=/= 0, and is the base of the log, and x > 1:
The asymptote will be the y-axis. There is no horizontal asymptote. Also, the input of a logarithmic function can never be negative. More on that later. So just like how if you added or subtracted a number after the input of the exponential, the entire graph would shift, if you add or subtract something within the logarithmic function, its graph will shift along with the asymptote.
Given the function: f(x) = log a (x + w) where w is a real number. The graph would shift left w units, and "become more negative," so to speak. If w = 2, then the asymptote would become x = -2 and the entire graph would shift left 2 units. If w = -5, then the asymptote would be x = 5 and the graph would shift right 5 units. When shifting back and forth ("transforming") along the x-axis, it's important to remember that the sign that causes the shift is the opposite of what you'd expect. Positive shifts left, negative shifts right.
The asymptote will be the y-axis. There is no horizontal asymptote. Also, the input of a logarithmic function can never be negative. More on that later. So just like how if you added or subtracted a number after the input of the exponential, the entire graph would shift, if you add or subtract something within the logarithmic function, its graph will shift along with the asymptote.
Given the function: f(x) = log a (x + w) where w is a real number. The graph would shift left w units, and "become more negative," so to speak. If w = 2, then the asymptote would become x = -2 and the entire graph would shift left 2 units. If w = -5, then the asymptote would be x = 5 and the graph would shift right 5 units. When shifting back and forth ("transforming") along the x-axis, it's important to remember that the sign that causes the shift is the opposite of what you'd expect. Positive shifts left, negative shifts right.
Vanster wrote: "Me: Yeah, I do.
OK, so I completely understood that but I lost points on my test and I don't know why. :/ I put x = -5, and the graph shows the curve leveling out at -5 and not going any farther. ..."
Me: it should follow the asymptote closely without touching to the edge of the graph. What was the question?
OK, so I completely understood that but I lost points on my test and I don't know why. :/ I put x = -5, and the graph shows the curve leveling out at -5 and not going any farther. ..."
Me: it should follow the asymptote closely without touching to the edge of the graph. What was the question?
Me: The question was: Identify a possible parent function and asymptotes for the following graphs. I got full points on the parent functions, but I only got 2 out of three on the asymptotes.




Ahhh. That does sound complicated. o_o
Me: So Jo, I let my little cousin Kimberly listen to that sonata you sent me, and she was just so impressed and awed. xD It was too cute.

I changed it because it's been played by almost everyone of my level. So I switched to this Corelli sonata. And I lurrve it. xD

I just watched Brave and can't get rod of the Scottish soundtrack in my head. xD
Whimsicality wrote: "Me: Cecil and Ingrid will be fun to roleplay. I'm imagining all the things they did to each other through their childhood - worms in sandwiches, etc. Maybe Cecil could have put a Boggart in her (gi..."
Me: Oh yes. XD
Me: Oh yes. XD
Me: I got distracted, so I didn't finish. xD I only drew Rosaline and Erin.
I saw a cockroach the size of a f/cking thumb in my bathroom and it was gross, wiggling its nasty little feeler sh/ts at me. Christ. >.>
I saw a cockroach the size of a f/cking thumb in my bathroom and it was gross, wiggling its nasty little feeler sh/ts at me. Christ. >.>
Me: D: I can't find the paper. I think it got mixed up with my schoolwork.
It was last night. I brought it up because I just found a spider on my desk.
It was last night. I brought it up because I just found a spider on my desk.
Me: I'll just make a new one after I finish my homework.
I don't mind spiders. I just catch them and set them free, because normally they're tiny. Cockroaches scare me really badly, though, because we had an infestation of them in our house when I was little.
I don't mind spiders. I just catch them and set them free, because normally they're tiny. Cockroaches scare me really badly, though, because we had an infestation of them in our house when I was little.
Books mentioned in this topic
The Importance of Being Earnest (other topics)Science in the Kitchen and the Art of Eating Well (other topics)
Tuesdays with Morrie: An Old Man, a Young Man, and Life's Greatest Lesson (other topics)
Things Fall Apart (other topics)
The Monk (other topics)
More...
Authors mentioned in this topic
James P. Blaylock (other topics)Tim Powers (other topics)