College Algebra

Chapter 3: Polynomial and Rational Functions

Chapter Quiz

1. Identify the vertex of the quadratic function.
3m1q1.gif [Hint]

2. Use end behavior and, if necessary, zeros to match the function with its graph.

3. The height of a projectile fired vertically into the air at an initial velocity of 96 ft per sec is a function of time t and is given by 3m1q3.gif. Find the highest point reached by the projectile. [Hint]

4. Find the zeros of the polynomial function.
3m1q4.gif [Hint]

5. Divide using long division.
3m1q5.gif [Hint]

6. Use synthetic division to divide.
3m1q6.gif [Hint]

7. List all the rational zeros of the function.
3m1q7.gif [Hint]

8. Determine the possible number of negative and positive real zeros of the polynomial function.
3m1q8.gif [Hint]

9. Use the given root to find the solution set for the polynomial equation.
3m1q9.gif [Hint]

10. Find a third degree polynomial function with real coefficients, if 2 and 3+i are zeros of the function. [Hint]

11. Find the vertical asymptotes, if any, of the graph of the rational function.
3m1q11.gif [Hint]

12. Find the horizontal asymptotes, if any, of the rational function.
3m1q12.gif [Hint]

13. The force required to stretch a spring is directly proportional to the distance d. A force of 6 lbs stretches a spring 1.2 ft. What force will be needed to stretch the spring 3 ft? [Hint]

14. The illumination produced by a light source on an object varies inversely as the square of the distance of the object from the source. The illumination of a light source at 10 meters is 120 candela. What is the illumination at 15 meters from the source? [Hint]

15. Find the all the asymptotes, if any, of the graph of the rational function.
3m1q15.gif [Hint]

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