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Mathematics 7 Online
OpenStudy (melissa_something):

g(x)= 4^x+3 +2 Halp Halp :( will medal

zepdrix (zepdrix):

\[\large\rm g(x)=4^{x+3}+2\]What do we have to do with this function? :o

OpenStudy (melissa_something):

Graph it :( We have to pick 3 points but I chose 1 and got like 258

OpenStudy (melissa_something):

My graph only goes to 6... on the worksheet that is -_____-

zepdrix (zepdrix):

|dw:1444279384850:dw|It's an exponential, so it looks something like this :U

OpenStudy (melissa_something):

wait its not exponential?? lol ugh

zepdrix (zepdrix):

Oh you're picking points and stuff? :) Ok ok hmm

OpenStudy (melissa_something):

Yeah I mean it would look like that though. I tried -1 and got 18 which is still a big number :(

zepdrix (zepdrix):

Ya, you don't want really big numbers. So you would like to make the `exponent` as close to zero as possible. So you want this x+3 to be somewhat small. How bout x=-3?

zepdrix (zepdrix):

18 isn't big, simmer down :) lol

OpenStudy (melissa_something):

Apparently for the graph it is lol

zepdrix (zepdrix):

\(\large\rm (-3,?)\) what do you get for your y when plug in -3 for x?

OpenStudy (melissa_something):

Okay for -3 = 6 :) much better

zepdrix (zepdrix):

Hmm that doesn't sound right.

OpenStudy (melissa_something):

No?

zepdrix (zepdrix):

\[\large\rm g(-3)=4^{-3+3}+2\]\[\large\rm g(-3)=4^{0}+2\]4^0 is? :o

OpenStudy (melissa_something):

Oh, its 1. Fantastic Ima fail this lol :/

zepdrix (zepdrix):

\(\large\rm (-3,3)\) mmm ok good that gives us one point :) How about choosing another value that is really close by, like umm... -2?

OpenStudy (melissa_something):

Okay :) Lemme do it

OpenStudy (melissa_something):

its 6!!!!

zepdrix (zepdrix):

\(\large\rm (-2,6)\) Ahh there's that 6 :) lol

zepdrix (zepdrix):

If x=-1 is giving you a value that is too big, then you could try going the other direction I suppose, x=-4

OpenStudy (melissa_something):

What if we do -4? Since -1 = 18 -___-

OpenStudy (melissa_something):

Okay doing it now :)

OpenStudy (melissa_something):

it comes out at 2.25

zepdrix (zepdrix):

\(\large\rm (-4,2.25)\) Yay good job \c:/

zepdrix (zepdrix):

Graph em.. connect the dots :p go .. do it

OpenStudy (melissa_something):

Lol it looks kinda weird but I'll take it! It must be right.

OpenStudy (melissa_something):

What will be thr asymptote? :o

zepdrix (zepdrix):

The normal asymptote for an exponential function will be the x-axis, which is y=0. The +2 on the end of our function is a vertical shift up 2 units. So hmm.. what will that do? :)

OpenStudy (melissa_something):

Oh no, theres more?!?! :(

OpenStudy (melissa_something):

y=2.25?? @zepdrix

OpenStudy (melissa_something):

Lol I knew you were gonna click on that other question, I clicked on it too. Great minds think alike :)

zepdrix (zepdrix):

The +2 is shifting `everything` up by 2. So it shifts the asymptote up by 2. So instead of having an asymptote at y=0, you'll have an asymptote at y=2.

OpenStudy (melissa_something):

Thank you, thank you!!!!!! Good luck helping that guy! <3 Youre awesome

zepdrix (zepdrix):

:3

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