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Mathematics 21 Online
OpenStudy (anonymous):

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OpenStudy (anonymous):

f(x) = 2 sin(2x − ð) + 2 h(x) x y −2 10 −1 7 0 5 1 3 2 5 3 7 4 10 Which function has the smallest minimum?

OpenStudy (anonymous):

@ganeshie8 can you help me with this problem?:)

ganeshie8 (ganeshie8):

whats the minimum value of \(\sin (something)\) ?

ganeshie8 (ganeshie8):

\(-1 \le \sin (\theta) \le 1\) so the minimum value of \(\sin (\theta)\) is -1, eh ?

ganeshie8 (ganeshie8):

that makes the minimum value of f(x) : f(x) = 2(-1) + 2 = 0

ganeshie8 (ganeshie8):

So, the minimum value of f(x) is 0

ganeshie8 (ganeshie8):

Look at next function : can u figure out the minimum value of h(x) from the given table ?

OpenStudy (anonymous):

yes, would I find that by subtracting the x and y values from the ones below them ?

ganeshie8 (ganeshie8):

nope, just pick the minimum value of `y coordinates` : h(x) x y −2 10 −1 7 0 5 1 3 2 5 3 7 4 10

OpenStudy (anonymous):

the 3?

ganeshie8 (ganeshie8):

Yes !

ganeshie8 (ganeshie8):

what about the minimum value of graph ?

OpenStudy (anonymous):

-2?

ganeshie8 (ganeshie8):

Excellent !! so who has the smallest minimum value ?

OpenStudy (anonymous):

g(x) ! yay, thanks:-)

ganeshie8 (ganeshie8):

yw :)

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