Question #337646

Which is a correct statement about the function f (x) = 5x from the set



of integers Z to the set of integers?

1
Expert's answer
2022-05-06T12:35:48-0400

f(x) is 1-1 but not onto.

x1,x2Z\forall x_1, x_2\in \Z, if f(x1)=f(x2),f(x_1)=f(x_2), then x1=x2.x_1=x_2. The function f(x)=5xf (x) = 5x  from the set of integers Z\Z to the set of integers is 1-1.


If y=1,y=1, we cannot find xZx\in \Z such that y=5x=1.y=5x=1. The function f(x)=5xf (x) = 5x  from the set of integers Z\Z to the set of integers is not onto.


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