## matlee one year ago is surjective even or odd?

1. zzr0ck3r

?

2. matlee

Hi

3. zzr0ck3r

hi

4. matlee

do you know what surjective is?

5. zzr0ck3r

yes

6. matlee

how can i tell if its even or odd?

7. 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

8. matlee

my equation is f(x)= x^3 + 0.04x2 +3

9. 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 $$f(x) = y$$.

10. matlee

my domain and range are all R

11. 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

12. matlee

Wow thank you, so i would just put niether

13. zzr0ck3r

even functions are symetrical across the y axis odd functions are symetrical about the origin

14. matlee

what do you mean origin? i recently just joined this precalc class and am already having trouble lol

15. matlee

so the odd ones would look similiar to itself?

16. 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

17. zzr0ck3r
18. matlee

oo i see

19. matlee

hahah thank you i appreciate your help i can finally move onto question number 3 lol

20. zzr0ck3r

np keep at it

21. matlee

Sure thing goodmirning or goodnight bye