Define a function f from the product Z Z to Z by fa b ab I

Define a function f from the product Z × Z to Z by f(a, b) = ab.

Is the function onto?
A True
B False
Define a function f from the product Z × Z to Z by f(a, b) = ab.

Is the function onto?
A True
B False

Solution

A. True

We can set a=1 and function would be

f(1,b)=b

So we can vary b over all of Z and hence range of f would be all of Z

 Define a function f from the product Z × Z to Z by f(a, b) = ab. Is the function onto? A True B False Define a function f from the product Z × Z to Z by f(a, b

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