Determine if the following function is injective:

[tex]\[ f(x) = x + 1 \][/tex]

Select one:
A. Yes, it is injective.
B. No, it is not injective.
C. None of the above.
D. It is logarithmic.



Answer :

Final answer:

The function f(x) = x + 1 is injective because each different input results in a unique output.


Explanation:

The function f(x) = x + 1 is injective if each different input yields a different output (no two different inputs produce the same output). In this case, for any two distinct inputs x1 and x2, if f(x1) = f(x2), then x1 must equal x2. Therefore, the function f(x) = x + 1 is injective.


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