Q5 of 292 Page 549

Show that the function is

a. strictly increasing on [0, ∞[


b. strictly decreasing on [0, ∞[


c. neither strictly increasing nor strictly decreasing on R


Domain of function is R.

f’(x)=2x


for x>0 f’(x)>0 i.e. increasing


for x<0 f’(x)<0 i.e. decreasing


hence it is neither increasing nor decreasing in R


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