For which function is given below, there are is a maximum and a minimum values on the given interval?
a) f(x)=x2 on (0,1)
b) f(x)=1/x if x=0 on [0,1] , 0 if x=0
c) f(x)=2x+1 on R
d) f(x)=x2+1/x on [1,2]
e) None of the above.
a) No. increases on open interval and is undefined at and
b) No. decreases on open interval from to
has minimum value on but has no maximum value on
c) No. increases from to on
d) Yes. The function is defined on
on => increases on
The function has the maximum with value of on at
The function has the minimum with value of on at
d) on
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