simple graph

NO

f(x)=sin²x/4 +cos x/4
f(-x)=sin²x/4+cosx/4 => f(x) is even function

Y intercept => x=0 =>y=1
X intercept => y=0 =>x= find urself..there will be many values

Period =LCM (8Ï€,8Ï€)=8Ï€
f'(x)=2.1/4.sin x/4.cos x/4 -1/4 .sin x/4

f'(x)=0 => 2sinx/4(cosx/4 -1)=0 => sinx/4=0 & cosx/4=1
=> x/4 =nπ & x/4=(2m+1)π/2
=> x=0,4Ï€.. & x=2Ï€,6Ï€...
for inc f(x) => f'(x)>0
for dec f(x) => f'(x) <0 (find both urself)

for max/minima find using wave method

and ur graph will be ready

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read this...http://get-set-go-jee.webs.com/howtoplotgraphs.htm