1. Find the equation of the oblique asymptote for the
given rational function. (8 points)
![](./articles_imgs/2726/colleg48.jpg)
2. Write the quadratic equation in the form y = a(x − h)^2
+ k by using the completing the square method and
determine the vertex . All numbers should be in lowest term fractions or
integers . (8 points)
![](./articles_imgs/2726/colleg49.gif)
VERTEX IS__________________
3.
A. Find all possible zeros of the function and determine the multiplicity . (6
points)
![](./articles_imgs/2726/colleg50.gif)
B. Using the same function from part A, state if a zero of
the function cuts or bounces at the x-axis,
determine the degree of the given polynomial function and determine the end
behavior. (5 points)
4. Build the table of all possible zeros for the
polynomial using Descartes ’ rule of signs . (8 points)
![](./articles_imgs/2726/colleg51.jpg)
5. Solve the equation and check your answer. (10 points)
![](./articles_imgs/2726/colleg52.gif)
6. Find a polynomial equation with real coefficients that
has the given roots. (8 points)
![](./articles_imgs/2726/colleg53.gif)
7. Find the equations of the vertical and horizontal
asymptotes for the given rational functions . (12
points)
![](./articles_imgs/2726/colleg54.jpg)
8. Determine all real and imaginary zeros of the
given function. Write answers as reduced fractions or
integers. (10 points)
![](./articles_imgs/2726/colleg55.gif)
9. Solve the polynomial inequality using the test point
method. (10 points)
![](./articles_imgs/2726/colleg56.gif)
10. Determine if the given value is a zero of the function
using synthetic division . (7 points)
![](./articles_imgs/2726/colleg57.jpg)
11. (6 points) If a soldier in basic training fires a
rocket propelled grenade (RPG) straight up from a height
of 3 feet with an initial velocity of 336 ft/sec, then its height above the
ground in feet at time t in seconds
is given by the function
![](./articles_imgs/2726/colleg58.gif)
Do not round any of your calculations !
What is the maximum height reached by the RPG?
12. Solve the equation. Write answers in lowest term
fractions . (8 points)
![](./articles_imgs/2726/colleg59.gif)
![](./articles_imgs/2726/colleg60.jpg)