Check out the y values…they are always positive and head towards zero but will never become zero.  So y is greater than zero — please see the graph below: the graph looks like it hits the x-axis but never actually will as the small y values get super teeny but never hit zero.

From the January 2016 Common Core Algebra I Regents

According to www.regentsprep.org:
“Recursion is the process of choosing a starting term and repeatedly applying the same process to each term to arrive at the following term.  Recursion requires that you know the value of the term immediately before the term you are trying to find.”

This question is all about notation.  Recursive means what happens to each number so that it becomes the next number in the sequence. 

How can we get from 3 to 7 and then from 7 to 15?  and then from 15 to 31.  Each new number in pink is just a little bit more than double the previous number.  Look carefully at all four choices — only one of them is close to multiplying by 2.

f(1) = 3 means that the first number of the sequence is 3 which appears in all 4 answers.
f(n + 1) means the next number in the sequence.  

 Find the one that matches the given pattern :)

From the January 2016 Common Core Algebra I Regents

Notice we are looking for the x value — similar to #1 on this very same Regents!!
https://mathconfidence.com/2016/05/02/get-the-math-and-get-the-points-notice-x/

Input both equations into Y=…absolute value is found either under Math, Number or in the catalog which can be found by doing 2nd zero
For answer choice (1), when x = -2 both Y1 and Y2 are the same :)
For answer choice (2), when x = 2, Y1 = 4 while Y2 = 2
For answer choice (3), when x = 3, Y1 = 4.5 while Y2 = 3
For answer choice (4), when x = -6, here’s another snapshot with the table arrowed up to more negative numbers:

when x = -6, Y1 = 0 while Y2 = 6.