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Mathematics 15 Online
OpenStudy (katherinesmith):

describe the domain and range of the function f(x) = sin(x) – 5

OpenStudy (katherinesmith):

this is the graph

OpenStudy (tkhunny):

Why would the Domain be anything but All Real Numbers?

OpenStudy (tkhunny):

That's the graph of what? Certainly not f(x) = sin(x) - 5!

OpenStudy (katherinesmith):

HAHA wrong graph hold on!

OpenStudy (katherinesmith):

OpenStudy (tkhunny):

The picture is entirely unnecessary.

OpenStudy (katherinesmith):

i know. okay so the domain is all real numbers but what is the range?

OpenStudy (tkhunny):

You tell me. What is the Range of the sine function?

OpenStudy (katherinesmith):

i don't know... (5, all real numbers) ?

OpenStudy (tkhunny):

That's just silly. You have seen the graph of a sine function, right? Doesn't it oscillate between 1 and -1?

OpenStudy (katherinesmith):

no i haven't. i don't even know what oscillate means.

OpenStudy (tkhunny):

Okay, fine. Let's look at the picture. The you will have seen it.

OpenStudy (katherinesmith):

okay.

OpenStudy (katherinesmith):

?

OpenStudy (tkhunny):

Did you lose the picture?

OpenStudy (katherinesmith):

no?

OpenStudy (tkhunny):

Post away, then. I could draw it and post it if you like.

OpenStudy (katherinesmith):

what picture are you talking about? the picture of the graph?

OpenStudy (katherinesmith):

OpenStudy (tkhunny):

Not bad, but the freehand doesn't do it justice. It should go all the way up to -4 and all the way down to -6. That's what oscillate means - it jumps back and forth a lot!

OpenStudy (katherinesmith):

okay. so how do i find the range.

OpenStudy (tkhunny):

Sneaky, wasn't it? I just told you in my last post. It gets up to -4 and down to -6. This is the Range.

OpenStudy (katherinesmith):

OHHHHHHHHHH

OpenStudy (katherinesmith):

could you help me with another? @tkhunny

OpenStudy (tkhunny):

Make a new question and ping me if you like.

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