the function of f(x) = 5x^3 is even?odd? or both? or neither even nor odd?

Question

anonymous · Answer

i think is both depending on what value is your x if x=1 the we have 5 and if 2 then 40

anonymous · Answer

@Christos do you know what an odd and an even function are?

anonymous · Answer

An even function has symmetry about the y-axis 
so a function is "even" when:f (x) = f(-x) for all x
therefore $$f(x) = 5x^3 $$
$$f(-x) = 5(-x)^3 $$
$$f(-x) = -5x^3 $$
"even" functions are the functions: $$x^2, x^4, x^6, x^8$$

anonymous · Answer

so as you can see, by doing it algebraically we can see that the function $$f(x) = 5x^3$$ is not even.

anonymous · Answer

the function is odd. check this website out for more examples: http://www.mathsisfun.com/algebra/functions-odd-even.html

christos · Answer

And when a function is neither odd nor even??

anonymous · Answer

well if you know what is when a function is even or odd, you will surely know when its neither since its not going to be like any of the odd or even.