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Mathematics 13 Online
OpenStudy (jessicawade):

fractal-generating function?

OpenStudy (jessicawade):

f(z)=z^2-2=2i find the first 3 outputs

jimthompson5910 (jim_thompson5910):

hmm I'm not exactly 100% sure of what they are asking

jimthompson5910 (jim_thompson5910):

and it seems like there are too many equal signs

OpenStudy (jessicawade):

hmm

jimthompson5910 (jim_thompson5910):

is there a typo?

OpenStudy (jessicawade):

the answers are A) -2+2i,-2-6i,478-1766i B) -2+2i,-2-6i,-34+26i C)-2-6i,-34+26i,478-1766i D) -2+2i,-2+6i,-34-26i

OpenStudy (jessicawade):

not sure

OpenStudy (jessicawade):

Oh im sorry lol its supposed to be f(z)=z^2-2+2i

jimthompson5910 (jim_thompson5910):

ok I see what to do

jimthompson5910 (jim_thompson5910):

first step is to plug in z = 0

jimthompson5910 (jim_thompson5910):

f(0) = ??

OpenStudy (jessicawade):

k f(0)=0^2-2+2i

jimthompson5910 (jim_thompson5910):

simplify as much as possible

OpenStudy (jessicawade):

ok the first one is -2+2i

jimthompson5910 (jim_thompson5910):

so that means we can rule out choice C. Choice C has -2-6i when the first output is -2+2i

OpenStudy (jessicawade):

ok

jimthompson5910 (jim_thompson5910):

we then take this first output, -2+2i, and plug it back into the function f(z)=z^2-2+2i f(-2+2i)=(-2+2i)^2-2+2i f(-2+2i)=???

OpenStudy (jessicawade):

so then i would have F(-2+2i)=(-2+2i)^2-2+2i

jimthompson5910 (jim_thompson5910):

correct

OpenStudy (jessicawade):

lol beat me to it

jimthompson5910 (jim_thompson5910):

you know what you're doing lol

OpenStudy (jessicawade):

kind of not really lol the fractal one are kicking my bum

OpenStudy (jessicawade):

16-2+2i

OpenStudy (jessicawade):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

incorrect

OpenStudy (jessicawade):

this is the part i got confused on

jimthompson5910 (jim_thompson5910):

(-2+2i)^2 = (-2+2i)(-2+2i) you can use a table like this to help you multiply |dw:1414196468645:dw|

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