Geometric Sequences
Exponential Growth/Decay
Write y=ab^x
Graphing Exponential Functions
Write Exponential Functions with Transformations
100
Write the explicit formula and find a11 for -4, 2, -1, 1/2, . . .
Write your answer as a fraction.
an=-4(-1/2)n-1
a11= -1/256100
6900 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 26 years, to the nearest cent?
$54,196.92
100
Write the exponential function represented by the table:
y = 5(3)x
100
Describe the transformation from the solid to the dotted line:
Reflect over the y-axis, translate down 1 unit
100
If f(x)=2x write the equation of a function g(x) which would shift the graph of f(x) left 2 units.
g(x) = 2x+2
200
Find the 15th term of the geometric sequence 3,−6,12,...
49152
200
A new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be, to the nearest cent, after 15 years?
$4034.09
200
Write the exponential function that includes the points (0, 0.2) and (1, 0.6)
y = 0.2(3)x
200
Describe the transformations from the solid to the dotted line:
Translated left 3 units and up 5 units
200
If f(x)=−2x write the equation of a function g(x) which would shift the graph of f(x) right 2 units and down 1 unit.
g(x) = -2x-2-1
300
The first five terms of a sequence are a1=625, a2=500, a3=400, a4=320, and a5=256. Write an explicit formula to find an. Use the formula to find a9.
an= 625(0.8)n-1
a9= 104.8576 or 65536/625
300
Bentley invested $26,000 in an account paying an interest rate of 6.8% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 11 years?
$54928.20
300
Write the exponential function for the graph:
y = -5(3/5)x
300
Write the exponential function that is graphed:
y = (1/4)x-4
300
If f(x) = 2x write a function g(x) which reflects f(x) over the x-axis, shifts right 3 units, and vertically stretches by a factor of 4.
g(x) = -4(2)x-3
400
Write an explicit formula for the graph above.
an=(-7)(1/2)n-1
400
Dylan invested $7,200 in an account paying an interest rate of 2.3% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 12 years?
$9481
400
Write an exponential function for the graph:
y = 4(3/2)x
400
Describe the transformations from the solid to the dotted line. Then write the function. 
Reflect over the x-axis, translate 4 units right
y = -2x-4
400
Given f(x) = 3x, write the function g(x) which is shown below:
g(x) = 3x+4-1
500
Write an explicit formula for the graph shown below. Find a0. What does a0 represent?
an= 6(3/4)n-1
a0= 8
a0 is the y-intercept
500
Ella invested $4,800 in an account paying an interest rate of 2.125% compounded quarterly. Santiago invested $4,800 in an account paying an interest rate of 2.375% compounded daily. After 18 years, how much more money would Santiago have in his account than Ella, to the nearest dollar?
$331
500
Write an exponential function in the form y=abx that goes through the points (0,15)and (2,735).
y = 15(7)x
500
Graph: f(x)=3(1/3)x+1
500
Given f(x)= 2x, write the function g(x) which is shown below:
g(x) = -3(1/2)x-8