Math 112 Final Exam 12 points each May 4, 2006

Instructor: k.w.nicholson (Wow, 8 pts absolutely free!)

Solve for x:

1. 5x + (3 - 4x ) + 2 = 5 - 2(3x + 2)

2. 2x² - x - 1 = 0

3. x² + 4x = 6

4. 3^{2x + 3} = 9^{3x - 4}

5.

6. log_x16 = 4

7. Solve for x

Solve the system of equations

8. 2x - y = 16

x + 3y = 1

9. Solve the linear inequality. Put the answer in Interval notation.

4 ≥ 2(1 - 3x) > 0

10. Graph the circle whose equation is

x² + y² - 20x + 12y - 8 = 0.

Graph the line using the given point and slope.

11. Point = (-2, 4) , slope = 0

Write the equation of the line thru the given point with the given slope.

12. Point = (-1, 3) , slope = 4

Graph parabolas and Find vertex, axis of symmetry, max or min value.

13. f(x) = 3x² + 12 x + 80

Find f^-1 for this function.

14.

Find x & y intercepts, vertical (VA) & horizontal asymptotes (HA) and sketch:

15.

16. f(x) = (2/3)^x