Math 110 – Spring 2007

Final Exam Answers

1. (a) 7/3 (b) h + 1

2. 41 ft.

3. (a) x² + 4x (b) -2 (c) 5 (d) –x² – 3x

4. Shift right 5 units, stretch vertically by a factor of 2, reflect over the x-axis, shift up 3 units. (By order of operations, the order of the second and third operations may be switched, but the first as last operations must stay put.)

5.

6.

7. (a) ±1, ±2, ±4, ±8 (b) -2, -1, 4

8. x-intercepts: (-2, 0) and (5, 0); y-intercept: (0, 5)

9. log₂5 + 3log₂x – 2log₂y

10. (-∞, 3)

11. (x + 2)² + (y – 5)² = 4

12. n(t) = 6000e^0.081093t