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Mathematics 18 Online
OpenStudy (wade123):

@phi

OpenStudy (wade123):

Identify the maximum and minimum values of the function y=3cosx in the interval [-2pi,2pi].

OpenStudy (phi):

have you ever seen a plot of cosine ?

OpenStudy (phi):

For example, see http://hotmath.com/hotmath_help/topics/graphing-cosine-function.html

OpenStudy (wade123):

yess

OpenStudy (phi):

for just cos(x) , what is the max value ? you can see the answer in the graph.

OpenStudy (wade123):

1

OpenStudy (phi):

and if you multiply that max value by 3 what do you get ?

OpenStudy (wade123):

3

OpenStudy (phi):

and it's the same idea for the minimum value of 3 cos(x)

OpenStudy (wade123):

which would be -3

OpenStudy (phi):

yes

OpenStudy (wade123):

i have to like show work for this problem, but there isnt really much to show

OpenStudy (wade123):

its really easy

OpenStudy (phi):

you can write: max value of cosine in the interval [-2pi,2pi] is 1 3 cos(x) has a max value of 3 * max value of cosine = 3*1= 3

OpenStudy (wade123):

gotcha, thanks!

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