Cumulative Review Exercises (Chapters P–3)

1. $\sqrt{13}$ $\sqrt{13}$
3. x-intercepts: 4, $- 2$ $- 2$ y-intercept: $- 8$ $- 8$
5. Slope is $\frac{1}{2};$ $\frac{1}{2};$ x-intercept: $- 6;$ $- 6;$ y-intercept: 3
7. Center: $(- 1, 2);$ $(- 1, 2);$ radius: 3
9. $y = - \frac{2}{3} x + \frac{11}{3}$ $y = - \frac{2}{3} x + \frac{11}{3}$
11. Domain $(- \infty, 2) .$ $(- \infty, 2) .$
13.
1. $f (g (x)) = \sqrt{x^{2} + 1}$ $f (g (x)) = \sqrt{x^{2} + 1}$
2. $g (f (x)) = x + 1$ $g (f (x)) = x + 1$
3. $f (f (x)) = \sqrt{4 x}$ $f (f (x)) = \sqrt{4 x}$
4. $g (g (x)) = x^{4} + 2 x^{2} + 2$ $g (g (x)) = x^{4} + 2 x^{2} + 2$
15. $f^{- 1} (x) = \frac{1}{2} x + \frac{3}{2}$ $f^{- 1} (x) = \frac{1}{2} x + \frac{3}{2}$
17. $- 6, - 3, - 2, - \frac{3}{2}, - 1, - \frac{1}{2}, \frac{1}{2}, 1, \frac{3}{2}, 2, 3, 6$ $- 6, - 3, - 2, - \frac{3}{2}, - 1, - \frac{1}{2}, \frac{1}{2}, 1, \frac{3}{2}, 2, 3, 6$
19.
21.
23. 9
25. $x = 50$ $x = 50$

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Table of Contents for Cumulative Review Exercises (Chapters P–3)