Show that the function is a. strictly increasing on [0, ∞[ b. strictly decreasing on [0, ∞[ c. neither strictly increasing nor strictly decreasing on R

Question

Philoid · Accepted Answer

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

Show that the function isa. strictly increasing on [0, ∞[b. strictly decreasing on [0, ∞[c. neither strictly increasing nor strictly decreasing on R

Show that the function is
a. strictly increasing on [0, ∞[

b. strictly decreasing on [0, ∞[

c. neither strictly increasing nor strictly decreasing on R