Maths: Functions...

demon8991 · 25 Oct 2006 at 16:49

f(x) = square root of (9-x2)

Is this the natural domain:

x belongs to the real numbers with x < or = to 3)

and the range:

[0,3]

Also is

f(x) = sinx + tanx

a periodic (i think it is but im not sure what the period is 2pi maybe?)

Thanks guys

demon8991 · 25 Oct 2006 at 16:57

Thanks mate

Dave said:
Yep, the domain of f(x) for the real number system is x<=3.

Is the range right too?

demon8991 · 25 Oct 2006 at 17:01

Dave said:
Yep, except the period is pi.

The only reason i thought it was 2pi was becuase sinx has a period of 2pi so i couldnt get my head round why sinx + tanx would be pi?

demon8991 · 25 Oct 2006 at 17:09

Thanks mate you have helped me no end.

That little graph drawing thing is well good.

demon8991 · 25 Oct 2006 at 17:23

Also another question im unsure about.

is f(x) = x4 + xsinx an odd, even or neither function?

demon8991 · 25 Oct 2006 at 18:39

Im really not sure about the question ive got a feeling its an even function but i really am not sure.

demon8991 · 25 Oct 2006 at 19:25

Thanks guys you have helped no end.