QuestionDetermine if the following functions are odd/even and injective/surjective/bijective:
1. $f(x)=c$
2. $f(x)=x$
3. $f(x)=x^{2}$
4. $f(x)=x^{3}$
5. $f(x)=\frac{1}{x}$
6. $f(x)=\frac{1}{x^{2}}$
7. $f(x)=\sqrt[3]{x}$
8. $f(x)=\sqrt{x}$
9. $f(x)=|x|$

Studdy Solution
For $f(x) = |x|$ , the function is even because $f(x) = f(-x)$ for all $x$ in the domain of $f$ . It is not injective but it is surjective for $x \geq0$ .

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