could someone clarify too me the odd , even or neither fucntion... i am so confused

Question

directrix · Answer

directrix · Answer

Do you have a function which you would like to test?

marcelie · Answer

yes . one sec

marcelie · Answer

attachment

marcelie · Answer

heres the picture so i got lost

marcelie · Answer

@directrix

anonymous · Answer

exponents all odd, polynomial is odd

marcelie · Answer

can you give me an exmaple

freckles · Answer

odd positive numbers are 1,3,5,7,9,11,13,15,....
even positive or zero numbers are 0,2,4,6,8.10,12,14,....

freckles · Answer

$$f(x)=x^2+1 \ \text{ is even } \\text{ you can think of it like this } f(x)=x^2+1x^0 $$

freckles · Answer

2 and 0 are even numbers

anonymous · Answer

are you sure 0 is even?

freckles · Answer

it is if i define it that way :p

freckles · Answer

i define an even number to be any number divisible by 2 
0 is divisible by 2 so 0 is even

anonymous · Answer

$$g(x)=x^3+1$$ would be NEITHER is what you meant

anonymous · Answer

lol

anonymous · Answer

$$g(x)=1+3x^3-x^5\
f(-x)=1-3x^3+x^5$$ but $$-(g(x)=-1-3x^3+x^5\neq g(-x)$$ so neither

anonymous · Answer

another example $$f(x)=\frac{x}{x^2-4}$$
$$f(-x)=\frac{-x}{(-x)^2-4}=\frac{-x}{x^2-4}=-\left(\frac{x}{x^2-4}\right)=-f(x)$$ odd

marcelie · Answer

i got lost o.o

marcelie · Answer

so what do u mena if the exponent is even or oddd