What value should you begin with when making a table for exponential functions?
x = 0
100
What is the next three terms in the geometric sequence
1, 2, .....
4, 8, 16...
100
The population is New Jersey can be represented by the equation 2,059(1.065)x, where x is the number of years since 2001. How could the population in the year 2010 be found? Show the setup of the work, but do not solve.
2,059(1.065)^9
100
What is the slope of the linear function f(x) = 2x-1?
2
200
What is "b" in f(x) = ab^x?
b is the rate of change
200
Given the table, write an exponential equation
X F(x)
0 20
1 8
2 16/5
3 32/25
f(x) = 20(2/5)^x
200
What is the next three terms in the sequence
2, 1, 1/2,....
1/4,1/8,1/16...
200
The salary of a baseball player starts at $70,000. He has a 5% raise each year. Is this an exponential growth or exponential decay?
Exponential growth
200
What is the "a" value of an exponential function represent on a graph?
y-intercept
300
What is the range of values for an exponential function to be a decay?
0<b<1
300
Using the following function, f(n)=1*2^n
Make an input output table for the function
x f(x)
-1 1/2
0 1
1 2
2 4
3 8
300
Given that the following sequence is geometric,
2,8,…..
What is the next term?
Write an equation.
32
f(x) = 2(4)^x
300
The number of cells in your body doubles each day. On the first day, there is 1 cell. Find the number of cells after 5 days.
32 cells
300
Create an input output table for the function f(x) = 3x+2
x 0 1 2 3
f(x) 2 5 8 11
400
What is the range of b values for the function to be an exponential growth?
b>1
400
Create a table of values for f(x) = 10(1/2)^x
What is
x f(x)
400
How is the domain of a geometric sequence different from a general exponential function?
A geometric sequence is restricted to positive x-values.
400
Ms. Padron makes 1 brownie on the first day and triples the number of brownies each day. Write an equation to represent the situation and find the number of brownies on the 4th day
f(x) = 1(3)^x
81 brownies
400
make an input output table for the function
f(x) = 2(2)^x
x 0 1 2
f(x) 2 4 8
500
Given the following exponential functions, order them from least to greatest in growth factor. Explain your reasoning.
f(x)=2*3^2
f(x)=1*4^2
f(x)=3*1^2
f(x)=1/2*2^2
f(x)=3*1^2
f(x)=1/2*2^2
f(x)=2*3^2
f(x)=1*4^2
500
Make an input output table for f(x) = 1(2)^x
x f(x)
-1 1/2
0 2
1 4
2 8
500
Create an input output table for the geometric sequence and graph
15, 5, 1....
x f(x)
1 15
2 5
3 1
500
In 1995, there were 85 rabbits in Central Park. The population increased by 12% each year. How many rabbits were in Central Park in 2005?
263 rabbits
500
How do sequences relate to linear and exponential functions?
Linear - Arithmetic
Exponential - Geometric
Continuous functions
Sequences are restricted to positive x values