Recursive Functions
Describe the Scatterplot
Variables
Explicit Functions
100
Create a recursive function for the following sequence: 3, 4, 5, 6

f(x)= f(x-1)+1

100
What is the form of this scatterplot?
Non-linear
100
What variable is on the x axis?
Independent Variable
100
Create an explicit function using this sequence:


4, 8, 12, 16

f(x)= 4*(x-1)+4

200
Create a recursive function for the following sequence: 5, 20, 80

f(x)=f(x-1)*4

200
Describe the direction and form of this scatterplot
Positive, linear
200
What variable is on the y axis
Dependent Variable
200
Determine the explicit function for this sequence:


12, 36, 108

f(x)= 12* 3^(x-1)

300
Create a recursive function for the following:


X     2    3    4

Y    5    10   15

f(x)= f(x-1)+5

300
What is the form, direction and strength of this scatterplot?
Linear, positive, weak
300
If you are trying to determine the effects of smoking on lung cancer rates, what would the independent variable be?
smoking
300
Create an explicit function using the table below


X     1     4     7

Y     2     4     6

f(x)= 2*(x-3)+2

400
Create a recursive function for the following:


Time         2      4     6

Height     5      10     20

f(x)= f(x-2)*2

400

What is the form, direction and strength of this scatterplot?

No form, no direction, moderate
400
If you are trying to determine whether school funding has an impact on graduation rates, what is the dependent variable?
Graduation rates
400
Create an explicit function for the table below


X   1    2    3

Y   4    10   25

f(x)= 4*2.5^(x-1)

500
Create a recursion function for the following:


Seconds       5        10       15

Distance    100      120      144

f(x)=f(x-5)*1.2

500
What is the direction, form and strength?
positive, non linear, strong
500
You are doing an observational study using data to determine whether states with stricter drug laws have less incidence of drug-related death. What is the independent variable?
drug laws
500
Create an explicit function using the following table


X    3     5    7

Y   10    15   22.5

f(x)6.67*1.5^(x-2)

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