Mathematics
13 Online
OpenStudy (jessicawade):
fractal-generating function?
Join the QuestionCove community and study together with friends!
Sign Up
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?
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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|