### Question 17

Using the equation you wrote in the last problem, how long would it take to fill the pool if both pipes are open at the same time? Write your answer in fraction form.

Question 1

What does this mathematical symbol ∞ represent?

Zero

Infinity

Pi

Undefined

Question 2

A rational expression can be written as a ratio of two polynomial expressions.

True

False

Question 3

Asymptotes are invisible lines which a graphed function will approach very closely but not touch.

True

False

Question 4

Find the domain of the function

Domain: all real numbers x except x=6

Domain: all real numbers x except x=8

Domain: all real numbers x

Domain: all real numbers x except x = -6

Question 5

Find the domain of the function

Domain: all real numbers x except x = 7

Domain: all real numbers x except x = ±49

Domain: all real numbers x except x = -7

Domain: all real numbers x except x = ±7

Question 6

Find the domain of

all real numbers except x = -9

all real numbers except x = 81

all real numbers except x = 9

all real numbers except x = 9 and x = -9

Question 7

Find the domain of the function and identify any vertical and horizontal asymptotes.

Domain: all real numbers x except x = 2

Vertical asymptote: x = 2

Horizontal asymptote: y = -1

Domain: all real numbers x except x = 0

Vertical asymptote: x = 0

Horizontal asymptote: y = -1

Domain: all real numbers x except x = 2

Vertical asymptote: x = 0

Horizontal asympotote: y = -2

Domain: all real numbers x except x = -2

Vertical asympotote: x = 0

Horizontal asympotote: y = 2

Question 8

Select the correct graph of the function. Choose from among the graphs listed

below: 1st, 2nd, 3rd, or 4th.

Question 9

The cost C (in millions of dollars) of removing p% of the industrial and municipal

pollutants discharged into a river is given by

According to this model, it is possible to remove 100% of the pollutants.

True

False

Question 10

Based on your answer to the previous problem, explain why you chose your answer (whether it is possible or

not to remove 100% of the pollutants). Show your work

Question 11

In the following formula, S(x) is the minimum number of hours of studying required to attain a class score of

x. How many hours of study are needed to score 56? Round your answer to the nearest whole number.

Show your work

Question 12

The concentration C (in mg/dl), of a certain antibiotic in a patient’s bloodstream is

given by C(t)=50 t /(t^2 + 25) where t is the time (in hours) after taking the antibiotic.

What is the concentration 5 hours after taking the antibiotic? Show your work

Question 13

In order to join a gym, you pay a $200 annual fee, then $10 for each exercise class you attend. Indicate which

equation below would allow you to determine the average cost per class if you go to x amount of classes: 1st,

2nd, 3rd, or 4th.

Question 14

Which of the following can a graph NEVER cross?

Vertical asymptote

Horizontal asymptote

Slant asymptote

All of the above

Question 15

Select the graph of the rational function. Choose from among the graphs

below: 1st, 2nd, 3rd, or 4th.

Question 16

One pipe can fill a pool in 1.5 hours. A second pipe can fill up the pool in 2 hours. Which of the equations

below would determine how long it would take to fill the pool when both pipes are used? Select the correct

equation:1st, 2nd, 3rd, or 4th.

Question 17

Using the equation, you wrote in the last problem, how long would it take to fill the pool if both pipes are

open at the same time? Write your answer in fraction form. Show your work