2.1/2.2/2.11
2.3/2.4/2.12
2.5/2.6/2.13
2.7/2.8/2.14
2.9/2.10
100
Determine if the following sequence is Arithmetic, if yes, determine the common difference.
-7,-2,3,8,13,....
Arithmetic, d= 5
100
Determine if the following is concave up or concave down and if the function is increasing or decreasing:
Show students graph
Concave Down
Decreasing
100
Find the inverse of the following:
f-1(x)= log2((x+15)/3)-4
Base 2
100
If h(x) = 2x-3 and k(x)= x2+4x+5
Find k(h(2))
10
100
Determine if the function is logarithmic, exponential, or neither.
x- 1 2 3 4
f(x) -16 8 4 2
Exponential
200
Let 
200
Determine the horizontal transformation of the following:
h(x) = 9x/2
y= 9x is horizontally dilated by a factor of 2.
200
Solve the following:
(1/2)(5x+7 )=4x
x = -1
200
Find (h ∘ m)(−1)
if h(x) = 2x-3 and m(x) = 3x+2
-5
200
Determine if the function is logarithmic, exponential, or neither.
x - 5 50 500 5000
f(x)- 1 2 4 8
Neither
300
If, over equal length input value intervals, the output values change at a constant rate is your function linear or exponential?
Linear
300
Which of the following is an equivalent form of the function y = 9*4x
a) f(x)= 3*16x/2
a) f(x)= 3*16x/2
b) f(x)= 3*162x
c) f(x)= 9*16x/2
d) f(x)= 9*162x
C
300
An exponential regression was used to model a data set. The residual plot for the exponential regression model is shown above. Which of the following is the best conclusion about the appropriateness of the exponential regression model based on the corresponding residual plot?
a) The exponential model is not appropriate because the residuals show no pattern.
b)The exponential model is not appropriate because the residuals show a pattern.
c)The exponential model is appropriate because the residuals show no pattern.
d)The exponential model is appropriate because the residuals show a pattern.
C
300
Find the inverse of g(x) = (2x+1)/(x-3)
f-1(x) = (3x+1)/(x-2)
300
Determine if the function is logarithmic, exponential, or neither.
x- 4 8 16 32
f(x)- -1 -4 -7 -10
Logarithmic
400
A wild rumor is spreading that Mr. McConnell won 1st place in the World’s Strongest Man Contest. The number of people that have heard the rumor can be modeled using a geometric sequence, where the 43 people had heard the rumor on day 3 and 140 people have heard the rumor on day 6. According to the model, how many people, to the nearest whole number, have heard the rumor by day 10?
676 people
400
Expand the following: log3((x2)/y)
2log3-log3(y)
400
The number of bacteria B in a particular culture can be modeled by the exponential function B(t)=17e0.31t where t is measured in hours.
A) Let A(t)= a * bt be an equivalent expression for B(t). Find the value of a.
B) Find the average rate of change for B(t) over the interval t=1 to t =7 hours.
C) Find where the value of t when the number of bacteria in the particular culture is 1000.
a) a = 17
b) 20.952
c) t = 13.144
400
Show table
The table above gives the data from the graph at the beginning of the notes related church size and average salaries for pastors in the United States.
a) Use the regression capabilities of your graphing calculator to find a logarithmic function model for the data above of the form S(p) = a + b ln p, where p represents the church size and S is the average pastor salary in thousands of dollars.
b)
Using the model found in part a, what is the predicted annual salary, in thousands of dollars, for a pastor whose church size is 500 people?
a) S(p)= -91.542 + 29.909 ln(p)
b) 94.3295 thousands of dollars.
400
log6(1/36) Evaluate without a calculator
-2
500
Selected values of the logarithmic function are shown. Find the value of the constant k:
WRITE TABLE FOR STUDENTS
k = 2
500
Condense the following:
log2(1/x)-log2(1/x2)
log2(x)
500
Mr. McConnell hopes to make it into the Guiness Book of World Records by painting the world’s biggest mural on the sides of several downtown buildings. His mural will consist of many painted circles of various sizes, where each circle is painted a different color. He wants to create a model to determine how much paint is needed (in quarts) for a circle of radius r (in feet).
A(r) = πr2, the model needs to be quadratic because the amount of paint depends on the area of each circle.
500
8
500
log232- Evaluate without a calculator
5