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]