## Precalculus Practice Exam

Part 2 Test 3 Time: 1 hour

1. The height of a projectile shot vertically upward from the ground with an initial velocity of 128 feet per second is given by the formula where t equals the time in seconds and h(t) equals the height above the ground at time t. What is the maximum height attained by the projectile?

2. Find a polynomial function with real coefficients that has 3 and 1+i as zeros.

3. Solve the following inequality for x:

4. Find all the real zeros of the polynomial

5. Given the function where a, b, c, d, e and f are integers and a>0,

• Determine the right-hand and left-hand behavior of the graph of f(x).
• If -5 and 5 are zeros of f(x), and if f(-2)=12, f(0)=-18,and f(2)=50, how many real zeros does the function f(x) have?

6. Find all vertical and horizontal asymptotes for the graph of the following function and graph the function.

7. Find the partial fraction decomposition for

8. Find the quadratic function whose graph has its vertex at (-1,8) and passes through the point (1,-4).

9. Sketch the graph of , showing clearly all x-intercepts and y-intercepts.