matlee
  • matlee
is surjective even or odd?
Mathematics
katieb
  • katieb
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zzr0ck3r
  • zzr0ck3r
?
matlee
  • matlee
Hi
zzr0ck3r
  • zzr0ck3r
hi

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matlee
  • matlee
do you know what surjective is?
zzr0ck3r
  • zzr0ck3r
yes
matlee
  • matlee
how can i tell if its even or odd?
zzr0ck3r
  • zzr0ck3r
A surjective function can be even or odd or neither example even \(f:\mathbb{R}\rightarrow [0,\infty), f(x) = x^2\) is surjective and even odd \(f:\mathbb{R}\rightarrow \mathbb{R}, f(x) = x\) is surjective odd Neither \(f:\mathbb{R}\rightarrow \mathbb{R}, f(x) = 2x+3\) is neither even nor odd but is surjective
matlee
  • matlee
my equation is f(x)= x^3 + 0.04x2 +3
zzr0ck3r
  • zzr0ck3r
A function is even if \(f(-x) = f(x) \) for all \(x\) A function is odd if \(f(-x) = -f(x)\) for all \(x\). A function is surjective if for all \(y\) there exists \(x\) such that \(f(x) = y\).
matlee
  • matlee
my domain and range are all R
zzr0ck3r
  • zzr0ck3r
that is neither even nor odd. If it were even then \(f(2) = f(-2)\) and it does not. If it were odd, then it would be true that \(f(2) =-f(2)\) and that is not true. Check em to make sure:) It is however surjective
matlee
  • matlee
Wow thank you, so i would just put niether
zzr0ck3r
  • zzr0ck3r
even functions are symetrical across the y axis odd functions are symetrical about the origin
matlee
  • matlee
what do you mean origin? i recently just joined this precalc class and am already having trouble lol
matlee
  • matlee
so the odd ones would look similiar to itself?
zzr0ck3r
  • zzr0ck3r
it means that if you flip it about the x axis and then flip it about the y axis, it looks exactly the same as when you started
zzr0ck3r
  • zzr0ck3r
http://www.mathwords.com/s/symmetric_origin.htm
matlee
  • matlee
oo i see
matlee
  • matlee
hahah thank you i appreciate your help i can finally move onto question number 3 lol
zzr0ck3r
  • zzr0ck3r
np keep at it
matlee
  • matlee
Sure thing goodmirning or goodnight bye

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