SOLUTION: Can someone help me? Thank you. Function f(x)= sin X is neither one to one nor onto function. Why? Determine restrictions on the domain and co-domain so that f(x)=sin x is inve

Algebra ->  Functions -> SOLUTION: Can someone help me? Thank you. Function f(x)= sin X is neither one to one nor onto function. Why? Determine restrictions on the domain and co-domain so that f(x)=sin x is inve      Log On


   

Question 1100228: Can someone help me? Thank you.
Function f(x)= sin X is neither one to one nor onto function. Why?
Determine restrictions on the domain and co-domain so that f(x)=sin x is invertible.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
One to one : Since the sin function is periodic, there are multiple values of x for a given value of y. Therefore it cannot be one to one.
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Onto : There is no x in the domain that will give a value of f(x) such that abs%28f%28x%29%29%3E1. So it's not onto.
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If we restrict the domain to [%281%2F2%29pi,%283%2F2%29pi] and restrict the co-domain to [-1,1].
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