why does the b in y = sin bx not affect the minimum and maximum graph values

Question

anonymous · Answer

How does the standard sin function behave?

anonymous · Answer

hoho! a question for a question he says!

anonymous · Answer

answer book says that -1 sin (any angle) = 1 sin any angle.  but I don't get that...

anonymous · Answer

That's kinda a dumb answer. There's a very straightforward way to figure this out.

anonymous · Answer

If we just talk about the regular sine function. $y = sinx$  What possible values do we have for y?

anonymous · Answer

y is confined bybeing greater than or equal to -1 or less than or equal to 1.  at least in the graph of same

anonymous · Answer

Right. And if we change it to $y = sin(k)$ it is also confined in the same way right? No matter what k is.

anonymous · Answer

For any k value, y will be between -1 and 1 inclusive.

anonymous · Answer

ok.... I overcomplicated what the answer book was saying... I get it...
that -1 sin bx 1 for all x

anonymous · Answer

Right. Even if y = sin bx, the output of the sine function will still vary between those 2 values. It will just vary faster or slower depending on the value of b

anonymous · Answer

gotcha...

anonymous · Answer

Thanks for the great help.......probably won't be the last question i ever get help on....lol