Solution to 1) Let be a function from Z to R, such that , then is a) … - Sikademy
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Archangel Macsika

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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Here's the Solution to this Question

Let f be a function from Z to R, such that f(x)=x/10

So, f(x)=\dfrac{x}{10}


Graph of f(x) in its domain:




Now, Interval in which f(x) to be determined is (-\infty,\infty )

So, a= -\infty and b= \infty

and f(a)= -\infty and f(b)= \infty

Hence f(a)< f(b)

Now, f'(x)= \dfrac{1}{10}>0\ \ \ \forall \ \ x\in(-\infty,\infty)


So, it is clear that  f(a)<f(b) and f'(x)>0

Hence f(x) is Strictly Increasing function.


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Question ID: mtid-5-stid-8-sqid-3063-qpid-1762