Question: For any integer k , define f ( k ) = { 3 k + 7 i f k i s o d d 5

For any integer k, define f(k)={3k+7ifkisodd5k2ifkiseven. Prove (using fundamental definitions) that for any integer k that f(k) is even. [Hint: Divide into cases depending on whether k is even or odd.]
For any integer k, define f(k)={3k+7ifkisodd5k2ifkiseven. Prove (using fundamental definitions) that

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