1) Let be a function from Z to R, such that , then is a) an increasing function b) a strictly increasing function c) a decreasing function d) an onto function
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Let f be a function from Z to R, such that f(x)=x/10
So,
Graph of f(x) in its domain:
Now, Interval in which f(x) to be determined is ( )
So, a= and b=
and f(a)= and f(b)=
Hence f(a)< f(b)
Now, f'(x)=
So, it is clear that f(a)<f(b) and f'(x)>0
Hence f(x) is Strictly Increasing function.