5. Consider the function f: Z15 → Z15 given by f([n]) = [n³]. Show that f is a function, and determine its image. Is it injective? Consider the same question but for f: Z10 → Z10 with the same rule.

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5. Consider the function f : Z15 → Z15 given by f([n]) = [n³]. Show that
f is a function, and determine its image. Is it injective? Consider the
same question but for f: Z10 → Z10 with the same rule.
Transcribed Image Text:5. Consider the function f : Z15 → Z15 given by f([n]) = [n³]. Show that f is a function, and determine its image. Is it injective? Consider the same question but for f: Z10 → Z10 with the same rule.
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