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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
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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?
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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:-)
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ganeshie8 (ganeshie8):
yw :)
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