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FUNDAMENTOS DE COMPUTACION
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Consider a function f:R→Rf:R→Rf: 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".
Choose the main technique to prove the following statement:
It is false to claim that every integer is even.
Choose the main technique to prove the following statement:
3x+21=03x+21=03x+21=0 has an integer solution.
Choose the main technique to prove the following statement:
x2+2x−8=0x2+2x−8=0x^2 + 2x -8=0 has integer solutions.
Choose the main technique to prove the following statement.
√3√3\sqrt{3} is irrational.
Choose the main technique to prove the following statement.
If nnn is even, then 5n2+6n+75n2+6n+75n^2+6n+7 is odd.
Choose the main technique to prove the following statement.
If 5n2+6n+75n2+6n+75n^2+6n+7 is odd, then nnn is even.
Consider a function f:R→Rf: 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".
Consider a function f:R→Rf:R→Rf: 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".
Consider a function f:R→Rf: 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".