Question

is surjective even or odd?

Answer 1

?

Answer 2

Hi

Answer 3

hi

Answer 4

do you know what surjective is?

Answer 5

yes

Answer 6

how can i tell if its even or odd?

Answer 7

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

Answer 8

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

Answer 9

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 \(f(x) = y\).

Answer 10

my domain and range are all R

Answer 11

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

Answer 12

Wow thank you, so i would just put niether

Answer 13

even functions are symetrical across the y axis

odd functions are symetrical about the origin

Answer 14

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

Answer 15

so the odd ones would look similiar to itself?

Answer 16

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

Answer 17

http://www.mathwords.com/s/symmetric_origin.htm

Answer 18

oo i see

Answer 19

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

Answer 20

np keep at it

Answer 21

Sure thing goodmirning or goodnight bye