MINIMUM AND MAXIMUM
remind me how to find the min and max?!?
y=-5cos(x+3)-1

Question

MINIMUM AND MAXIMUM 
remind me how to find the min and max?!?
y=-5cos(x+3)-1

anonymous · Answer

where do you think the middle line is?

anonymous · Answer

the maximum of cosine is 1
the maximum of 5 times cosine is therefore 5
and so the minimum of - 5 times cosine is -1
therefore, the minimum of $-5\cos(x)-1$ is ...

anonymous · Answer

oops, i meant to say 
" the minimum of -5 times cosine is -5"

anonymous · Answer

im looking at a graph of it and that's a very good explanation im just very lost it looks like the maximum is 4

anonymous · Answer

hope it is clear that the $x+1$ in the input has no effect on the max or min

anonymous · Answer

yes, the max is 4 lets walk through it

anonymous · Answer

the minimum value of cosine is $-1$
the minimum value of 5 times cosine is therefore $-5$ and so the maximum value of $-5$ times cosine is 5

anonymous · Answer

it looks like the minimum vale is -6 though

anonymous · Answer

since you are subtracting 1 at the end, the maximum value of $-5\cos(x+1)-1$ is $4$

anonymous · Answer

yes, $-6$ same reasoning as above

anonymous · Answer

oh okay that makes sense

anonymous · Answer

the minimum value of $-5\cos(x+1)$ is $-5$ and since you subtract 1 at the end, then the minimum value of $-5\cos(x+1)-1$ is $-5-1=-6$

anonymous · Answer

thank you thank you