Need some help with math
So we just learned about even and odd functions, but I don't quite get how to determine if they are even or odd. I get that even means f(x)=f(-x) and odd is -f(x)=(f-x). But what I don't is get that when there is a y variable in the equation, why you have to plug in negative "y" to find if it is odd.
September 14, 2011
3 Comments • Newest first
F(x) read as f of x is actually interchangeable with y. So f(x)=x^2 is really just y=x^2.
Get it nig? So for odd functions you find if f(-x)=-f(x) and -f(x) is just -y.
You almost never sup y into an equation.
Think of it this way... even function is the same on both sides of the y-axis. Odd function can be reflected in both axis and still look the same. (Sinusoidal function, cubic, quintic, septic, etc.)
EXAMPLE
ODD
x^3
f(-x)=(-3)^3=-27
-f(x)=-(3)^3=-27
EVEN
x^2
f(x)=3^2=9
f(-x)=(-3)^2=9
this is precalc