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If a function `f:[2,\ oo)->R` defined by `f(x)=(x-1)(x-2)(x-3)` is (a) one-one but not onto (b) onto but not one-one (c) both one and onto (d) neither one-one nor onto

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Given,
`f(x)=(x−1)(x−2)(x−3)`
For one−one test:
` f(1)=(1−1)(1−2)(1−3)=0`
` f(2)=(2−1)(2−2)(2−3)=0`
` f(3)=(3−1)(3−1)(3−3)=0`
` f(1)=f(2)=f(3)=0`
...
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