Identify the maximum and minimum values of the function y = 8 cos x in the interval [-2π, 2π]. Use your understanding of transformations, not your graphing calculator.

Question

anonymous · Answer

Do you need to use Calculus?

anonymous · Answer

No

anonymous · Answer

It's a precalculus class but I just have to identify them.

anonymous · Answer

Okay, then in y=cos(x) what is the maximum and minimum values?

abb0t · Answer

look at the graph of cosine firstly. that should help

anonymous · Answer

I know that cosine has a maximum of 1 and a minimum of -1 right?

anonymous · Answer

Correct!

anonymous · Answer

Now use your knowledge of transformations. What does that 8 represent? What does it affect?

anonymous · Answer

maximum right

anonymous · Answer

the amplitude of the function, right?

anonymous · Answer

Yes but it also tells you something else.

anonymous · Answer

what is the largest cosine can be?

anonymous · Answer

1 and -1 right?

anonymous · Answer

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