8. f, g and h are three functions defined from R to R as follows:
(i) f(x) = x?
(ii) g(x) = x^2 +1 (iii) h(x) = sin x
Then, find the range of each function.
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Step-by-step explanation:
range of
I. f of x can be defined for any real value of x
so range is (-infinity, +infinity)
ii. g of x can be defined for any value of x
and due to x^2 is is always positive which means the least value if g of x must be 1 and then goes on
range =[1,+infinity)
iii. h of x can only value upto 1 and the minimum value can be -1
range=[-1,+1]
hope it is clear
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