AMackenzieS AMackenzieS
  • 01-03-2017
  • Mathematics
contestada

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

f(x) = 3cos 2x + 4

I'd appreciate any help on this one, thanks

Respuesta :

LammettHash
LammettHash LammettHash
  • 01-03-2017
A quick way to do this is by recalling the fact that [tex]-1\le\cos x\le1[/tex], so the largest value that [tex]\cos ax[/tex] alone (for any real value of [tex]a[/tex]) can take on is 1.

This means [tex]-3\le3\cos2x\le3[/tex], and so [tex]1\le3\cos2x+4\le7[/tex].

So the maximum value of this function is 7.
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