Question

Determine whether the function is even, odd, or neither. g(s)=4s^2/3

Answer 1

When you are classifying a function, and in later Pre-calc graphing them, the determination is by testing to see if X remains positive. Well in this case, S, so if you change S to a negative and the equation remains unchanged it is a even. Functions which contain a term with an EVEN power of x and a term with an ODD
power of x or, at least one term with an ODD power of x and a constant term are likely
to be NEITHER even nor odd. Terms which involve odd powers of x will change signs when x is replaced with (-x). So you tell me what it is.

Answer 2

Are you still stuck?

Answer 3

yes ,

Answer 4

one way to demonstrate:
pick a value of x and find the function at that value
g(3) = 4(3)^2/3 which is like.. 8.345
g(-3) = 4(-3)^2/3 which is also 8.345 so it is even.

Answer 5

does that help?