Finding Even/Odd Function in Intervals: the Case of F(x)

[ajayguhan]

I know what it means by by even, or odd, function. i also know what it means graphically.

My question is how to find a whether a function is even, or odd? if the function is defined in three intervals or more than three intervals.

Consider a function F(x) defined in the interval (a,d)

F(x)= [ p(x) where x belong to the interval (a, b);
q(x) where x belong to the interval (b, c);
r(x) where x belong to the interval (c, d); ]

The particular problem I'm faced with is:

F(x)= [ p(x)=0 where x belong to the interval (-8,0);
q(x)=4 where x belong to the interval (0,4);
r(x)=8 where x belong to the interval (4,8); ]

 

[HallsofIvy]

You say you "know what it means by even, or odd, function" so just apply that. In particular F(-5)= 0. F(5)= 8.

That tells you all you need to know.