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Mathematics 24 Online
OpenStudy (anonymous):

Comparing functions? Will fan & medal xx

OpenStudy (anonymous):

what is the smallest f(x) can be?

OpenStudy (anonymous):

I'm not sure

OpenStudy (anonymous):

okay, what's the smallest sin can be?

OpenStudy (anonymous):

I really don't knoww:( Sorry I'm pretty bad at math

OpenStudy (anonymous):

keep saying that and you always will be... \(-1\le \sin \le 1\) f(x) = 4sin(blah)-1 => 4(-1)-1=-5 is the smallest f(x) can be. why? because -1 doesn't change. the only thing that changes is the value of sin. the smallest it can be is -1. does that make sense?

OpenStudy (anonymous):

You're right haha I guess I should be more optimistic about math. & yes that does make sense

OpenStudy (anonymous):

okay, so what is the smallest g(x) can be?

OpenStudy (anonymous):

-1?

OpenStudy (anonymous):

wait -3?

OpenStudy (anonymous):

there you go! how what about h(x)?

OpenStudy (anonymous):

4?

OpenStudy (anonymous):

"now" not how

OpenStudy (anonymous):

you got it!

OpenStudy (anonymous):

OMG thanks so much!!! You are seriously a life saver! I totally get this now ughhhhh yaasss thank youuuu omg!!!!

OpenStudy (anonymous):

so which has the minimum minimum?

OpenStudy (anonymous):

hx

OpenStudy (anonymous):

gx

OpenStudy (anonymous):

SORRY G(X)

OpenStudy (anonymous):

wait... -5 or -3 or 4?

OpenStudy (anonymous):

Where did you get -5 from...

OpenStudy (anonymous):

f(x) = 4(-1)-1 = -5 when sin = -1

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

Truuuue thank you loads!

OpenStudy (anonymous):

you're welcome!

OpenStudy (anonymous):

yep, just post them separately that way all can join in on the fun

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