Answered

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


f(x) = 3cos 2x + 4


Please, could you walk me through how to do this? I'd appreciate it, thanks!

Verified Answer :

LammettHash

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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