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Compare each of the functions shown below:
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Which function has the largest maximum?
g(x) = 3 cos(2x − π) − 1 h(x) x y −2 −7 −1 −2 0 1 1 2 2 1 3 −2 4 −7
*The picture above shows f(x)
look at the graph of f(x) whats the maximum y value it reaches ?
It shoots up to "2" and falls down again, eh ?
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Yes, so 2 is the maximum?
Yep !
next look at the table maybe.. whats the maximum y value in the table ?
As in the highest? 2 also?
yes ! what about the maximum value of g(x) ?
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I wouldn't know how to find that, but I'm guessing from the pattern, that it's also 2?
g(x) = 3 cos(2x − π) − 1 the max value of cos is +1, when cos is max the expression evaluates to 3*1-1 = 2 so yes you're right, the maximum value of g(x) is also 2
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