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FUNDAMENTOS DE COMPUTACION

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Consider a function f:RRf:RRf: R \to R, f(x)=2x+8f(x)=2x+8f(x) = 2x+8.

Determine the correct sequence to prove the following statement. 

ff is injective.

If a statement is not used in the proof, you have to choose "Not used".

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Choose the main technique to prove the following statement:

It is false to claim that every integer is even.

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Choose the main technique to prove the following statement:

3x+21=03x+21=03x+21=0 has an integer solution.

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Choose the main technique to prove the following statement:

x2+2x8=0x2+2x8=0x^2 + 2x -8=0 has integer solutions.

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Choose the main technique to prove the following statement.

33\sqrt{3} is irrational.

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Choose the main technique to prove the following statement.

If nnn is even, then 5n2+6n+75n2+6n+75n^2+6n+7 is odd.

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Choose the main technique to prove the following statement.

If 5n2+6n+75n2+6n+75n^2+6n+7 is odd, then nnn is even.

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Consider a function f:RRf: R \to R, f(x)=x2f(x) = x^2.

Determine the correct sequence to prove the following statement. 

ff is not injective.

If a statement is not used in the proof, you have to choose "Not used".

View this question

Consider a function f:RRf:RRf: R \to R, f(x)=2x+8f(x)=2x+8f(x) = 2x+8.

Determine the correct sequence to prove the following statement. 

fff is surjective.

If a statement is not used in the proof, you have to choose "Not used".

View this question

Consider a function f:RRf: R \to R, f(x)=x2f(x) = x^2.

Determine the correct sequence to prove the following statement. 

ff is not surjective.

If a statement is not used in the proof, you have to choose "Not used".

View this question

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