Math 112 Test 3 review Nov 2, 2000

1. Find the domain and range of f(x) = -x² -3.

2. Find the domain of

3. Find the domain and range of

4. Find the range of f(x) = 1/ 3x²

5. Graph the function:

6. Find the domain and range of the function whose graph is :

7. In the function f(x) = -4(x-2)² + 3 :

a. Which element controls horizontal shift?

b. Which element controls vertical shift?

c. Which element controls whether the parabola opens up or down?

8. Write an equation of the parabola whose vertex is located at (2, -3) and points downward.

9. If f(x) = -3x² - 4x + 5, find and simplify

10. f(x) = 3x² + a has x intercept -2. Find a.

11. Use long division to find the quotient and remainder of

12. Use synthetic division to find quotient and remainder of