Hello!
Even functions are functions that are symmetric with respect to the y-axis. It can be proved algebraically by determining if f(-x) = f(x).
Odd functions are functions that are symmetric with respect to the origin. It can also be proved algebraically by determining if f(-x) = -f(x).
1. f(-x) = f(x) | Even function
f(-x) = 3/4(-x) = -3/4x
f(x) = 3/4x
-3/4x is not equal to 3/4x
2. f(-x) = -f(x) | Odd function
f(-x) = 3/4(-x) = -3/4x
-f(x) = -3/4x
-3/4x is equal to -3/4x
Therefore, the function, f(x) = 3/4x, is an odd function.