Question

For this function (attached below) what is the maximum value?

Please explain answer. Thank you!

Answer 1

I thought I had messed up.

Answer 2

what is the derivative?

Answer 3

\[y=-3+4\cos\left(\frac{5\pi}{6} (x+4)\right)\]This function follows the format \(\sf y=A+B\cos(Cx)\) where the Maximum is: M = A+B.

\(\therefore\) M = 4 -3 =1

http://www.cliffsnotes.com/math/trigonometry/graphs-of-trigonometric-functions/graphs-sine-and-cosine

Answer 4

I am not sure this is in that form

Answer 5

we can get the inside to be a constant times x

Answer 6

but that's the right answer:)

Answer 7

How did you find it?

Answer 8

\[-1\le \cos(\clubsuit)\le 1\]
\[-4\le 4\cos(\clubsuit)\le 4\]
\[-3-4\le-3+ 4\cos(\clubsuit)\le -3+ 4\]
\[-7\le-3+ 4\cos(\clubsuit)\le 1\]

Answer 9

like that^

Answer 10

I don't know that formula, but you wrote Cx

and we had c(x+b)

they are not the same form, the first one is called linear and the second one is called affine. I was not saying you are wrong or anything like that. I was just saying it did not match the form.

p.s. It may be confusing what I wrote because people often call y=mx+b a linear equation, but its not(unless b=0). linear equations must go through the origin.