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FUNDAMENTOS DE COMPUTACION

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Consider a function f:R→Rf: R \to R, f(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".

Consider an arbitrary real number yy.

Assume f(x)=yf(x)=y.

2x+8=y2x+8=y

Consider two arbitrary real numbers aa and bb.

ff is injective

a=ba = b

2a+8=2b+82a+8=2b+8

Assume that f(a)=f(b)f(a)=f(b).

ff is surjective

x=y−82x = \frac{y-8}{2} exists

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Find the correct answer for the following expression.

The ceiling of 1.6

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Find the correct answer for the following expression.

The ceiling of -6.8

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Find the correct answer for the following expression.

The floor of 8.3

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Find the correct answer for the following expression.

The floor of 5.4

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