Yes
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One to one functions on a graph can vary. To determine if a function is one to one, a horizontal line can only intersect the function once. If it intersects the function more than once, it is not a one to one function.
a function is a one-to-one and many-to one relation
It is the function for which all the elements of the range of the function corresponds to exactly one element of the domain.
Yes, a function needs to be one-to-one in order to have an inverse.
No. One argument of function may have only one value. So, if it has more than one value, it is not a function.