Graphing Exp. Functions
Transformations of Exp. Functions
Exp. Growth
Exp. Decay
Logistic Growth
100
What is the domain of 5x?
(-∞, ∞) or All Real Numbers
100
Is the transformation of 3x -4 a vertical shift up or down and by how much?
Shift down 4
100
In the equation A= P(1+r)t what does the P represent?
Principal or Initial Amount
100
In the equation A= P(1-r)t what does the t represent?
Time
100
When given a logistic growth formula, is "e" a constant or a variable?
Constant
200
What is the end behavior of (1/4)x?
x --> ∞, f(x) --> 0
x --> -∞, f(x) --> ∞
200
Given the equation 4^x-2+11
which number shifts the graph horizontally left or right
A. 4
B. 3
C. 2
D. 11
C. 2
200
In the equation below, what number represents t?
A=10,056(1+.06)^7
A. 10,056
B. 1
C. .06
D. 7
How to solve- the equation is a=p(1+r)^t
T is 7
D. 7
200
In the equation A=10,000(1-0.09)13, which number represents the decay rate
A.1
B.10000
C.0.09
D.13
C. 0.09
200
In a logistic growth formula which number will always be in the denominator?
1
300
When given the equation (1/3)^x-4+6, what is the vertical asymptote
A. -4
B. 2
C. 6
D. none
D. none
300
Which of the following equations best describes a exponential graph with a translation that is 4 units to the right and 5 units up
A. (x2-4)-5
B. (x-4)2+5
C. (x-4)2-5
D. (x2+4)-5
B. (x-4)2+5
300
In a town, theres a population of 20,000. The populations grows at a rate of 7% each year. After 5 years what will the population be at now?
A. 28052
B. 21,400
C. 140,000,000
D. 20,000
A. 28052
300
In 2000 Georgias population was 16,000,000. Since 2000, the states population decreases yearly by 2%. Find the population in 2006(round to the nearest whole number)
14173478
300
Use the logistic function
What is the y-intercept of the function?
A.5/3
B.4/3
C. 1/3
D. 2/3
B. 4/3
400
Which of the following equations has an asymptote of -5
A. 2x-2
B. 3x-4
C. 2x+2
D. 3x+4
B. 3x-4
400
You have the equation 2x-8
What is the new equation when you shift the graph 3 units to the right and 7 units up?
2x-3+1
400
A colony of bacteria grows by 2% each month. If you start off with 7000 bacteria, how many bacteria will you have in 3 years( round to nearest whole number)
13346 bacteria
400
The city of greensboro had serious a roach problem but bug inspectors have found a solution and the roach population now decreases yearly by 9%. If the city of greensboro now has a population of 16,052 roaches, what was the population 5 years ago(round to the nearest whole number)
A.25723 roaches
B.10433 roaches
C.10347 roaches
D.10017 roaches
A. 25723
400
Use the logistic function
What is the carrying capacity of the function?
A. 22
B. 28
C. 25
D. 20
C.25
500
The initial question is 3x-2+4
When you shift the graph 6 units down, 4 units to the left, and vertically stretch it by 1/2, what is the new equation?
6x+2-2
500
What equation represents a reflection in the y axis, a translation of 3 units down, 5 units to the right, and a vertical compression of 6
parent funtion= 2x
(1/3)-x-5-3
500
A population of rats increases by 4 percent yearly. After 8 years, a population of rats in a town is now 109,566. What was the initial population?
A. 109,535
B. 80,059
C. 189,625
D. 7424
B. 80,059
500
In 2010, there were a population of 20,093 old people in idaho. They kept dying and the population decreased by 3% every 4 months. In 2015 what would the new population be?(round to the nearest human)
12539
500
There is an experiment to find the population of bacteria. It is given that the population growth of bacteria is in the equation as
Find out how many years it will take to get the population of bacteria to 6000?
Round off the result to whole number
A.23
B.19
C.22
D.20
A.23