Question

please explain (: @hartnn

Answer 1

it is neither.

Answer 2

please explain?

Answer 3

another way to find it out is drawing it out.

Answer 4

is there any way to figure it out from like an equation?

Answer 5

Yes, there are. By plugging x by -x into the function
Definition of even: f(x) = f(-x)
odd : f(-x) =-f(x)
Now, figure out all of them:

Answer 6

YOur f(x) = \(\sqrt {2x+1}\) right?

Answer 7

Is it f(x) = \(2\sqrt{2x+1}\)
I need find
1) -f(x)
2) f(-x)
and then compare.

Answer 8

1) -f(x) is easy, just plug minus sign in the front, I get -f(x) = -\(2\sqrt{2x+1}\)
got this part??

Answer 9

sorry my computer is acting up, it is this

Answer 10

ok, no problem, just find
-f(x)
f(-x)
show me your -f(x)

Answer 11

-f(x)= -x-5/x

Answer 12

where is ^3?

Answer 13

-x^3-5/x

Answer 14

good, now replace all x in your original one by (-x) , what do you get? (it is f(-x))

Answer 15

it is the same thing..

Answer 16

Don't be lazy, have to label them. As above you have \(\color{red}{-f(x)}= -x^3-\dfrac{5}{x}\)

Answer 17

Show me your work with the name of the function \(\color {blue}{f(-x)}\)

Answer 18

im not! im confused!!

Answer 19

I know!! that's why I want you to do STEP BY STEP to NOT be confused anymore.

Answer 20

didnt i already replace the x's in the first part? thats what im confused about

Answer 21

Those are different steps. for the first part , you just put the minus sign in the front of f(x) to get -f(x)
For this part, you replace x by -x
They are not the same.

Answer 22

ohh!

Answer 23

For example: if f(x) = x^2 --> -f(x) = -x^2
but f(-x) = (-x)^2 = x^2
Trivially, they are not the same

Answer 24

but youre multiplying the x by - 3 times which makes it still -x^2-5/x

Answer 25

-x^3-5/x*

Answer 26

I told you!! write the whole thing!!!
f(x) = x^3 + 5/x
now put minus sign in the front to get -f(x) = -[ x^3 +5/x] = -x^3 -5/x
and you are correct there.
Now the second step. Replace x by (-x) into \(\Huge f(x) \) to get \(\Huge f(-x)\)

Answer 27

No question, just do. It will turn clear later.

Answer 28

f(-x)= x+5/x

Answer 29

nope!!

Answer 30

omg

Answer 31

i think cause its over this that im not understanding, because im not that stupid

Answer 32

\(f(\color{red}{x})= \color{red}{x}^3+\dfrac{5}{\color{red}{x}}\)
\(f(\color{red}{-x})= \color{red}{-x}^3+\dfrac{5}{\color{red}{-x}}= \color{red}{-x}^3-\dfrac{5}{\color{red}{x}}\)

Answer 33

thats what i put!!!

Answer 34

ok so moving on haha

Answer 35

Yes, now compare.
you have \((\color{red}{-}f(x))= \color{red}{-x}^3-\dfrac{5}{\color{red}{x}}=f\color{red}{(-x)}\)
right?
so?? by definition, is it odd or even?

Answer 36

even(:

Answer 37

right?..

Answer 38

You guess??? type out the definition of odd and even , please

Answer 39

wait so f(-x) and -f(x) was the same right?!

Answer 40

yes.

Answer 41

lol im not guessing if f(-x) =- f(x)
then the function is odd

if f(-x) = f(x)
then the function is even

Answer 42

i said it was the same earlier!!!!! you said no!!!

Answer 43

it is odd

Answer 44

Hihihi... you jumped from this question to other one. You wrote the functions without label them. You made question on a mess and you expected me understand what you are saying. hihihihi
Yes, you are correct. My boss.!!

Answer 45

such an easy question, took an hour lol