Solutions: Functions Practice Test

1. The relation is a function. 3. −16 5. The graph is a parabola and the graph fails the horizontal line test. 7. [latex]2{a}^{2}-a[/latex] 9. [latex]-2\left(a+b\right)+1[/latex] 11. [latex]\sqrt{2}[/latex] 13. 15. even 17. odd 19. x = –7 and x = 10 21. [latex]{f}^{-1}\left(x\right)=\frac{x+5}{3}[/latex] 23. [latex]\left(-\infty ,-1.1\right)\text{ and }\left(1.1,\infty \right)[/latex] 25. [latex]\left(1.1,-0.9\right)[/latex] 27. [latex]f\left(2\right)=2[/latex] 29. [latex]f\left(x\right)=\begin{cases}|x|\text{ if }x\le 2\\ 3\text{ if }x>2\end{cases}[/latex] 31. [latex]x=2[/latex] 33. yes 35. [latex]{f}^{-1}\left(x\right)=-\frac{x - 11}{2}[/latex]

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