Do you know your functions?

Algebra Level 4

The following functions are defined as \( f(x) : \mathbb{R} \rightarrow \mathbb{R} \)

Which of these functions are bijective?

\( 1.f(x) = x^2 + 2x - 1 \)

\(2.f(x) = \log(x) + |x| \)

\(3. f(x)=\log(x) \)

\(4. f(x)= x^2 \)

\(5. f(x)=2^x \)

Assume \( \log(x) \) indicates the natural logarithm function.

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