Determine whether the function f(x) = x^2 + 3x + 2 from Z to Z is a bijective function.

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The function $f(x)=x^2+3x+2$ is not one-to-one.

For example

$0\in Z, -3\in Z$

$f(0)=(0)^2+3(0)+2=2$

$f(-3)=(-3)^2+3(-3)+2=2$

Hence

$f(0)=2=f(3)$

Since the function $f(x)=x^2+3x+2$ is not one-to-one, then the given function is not bijective.

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