Find the greatest maximum y-value of the following equation:

1 answer:

5 0

A quick way to do this is by recalling the fact that $-1\le\cos x\le1$ , so the largest value that $\cos ax$ alone (for any real value of $a$ ) can take on is 1.

This means $-3\le3\cos2x\le3$ , and so $1\le3\cos2x+4\le7$ .

So the maximum value of this function is 7.

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