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 f(x) = 8/x-6

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 functionf(x) = 8x2ndpwr/x2ndpwr-49

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 off(x) = x-9/x2ndpwr-81

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.

f(x) = 2+x/2-x

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.

f(x)=6/x+3

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

C=245p/100-p,0 p < 100

According to this model, it ispossible 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).

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 85? Round your answer to the nearest whole number.

S(x)= 50x/100-x

Question 12

The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given byC(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?

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 belowwould allow you todetermine the average cost per class if you go toxamount of classes

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. Choosefrom among the graphs below:1st,2nd, 3rd, or 4th.

g(x)=1/2-x

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

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 answer in fraction form.