Answer:
A
Step-by-step explanation:
This is a linear function whose slope is -3 and whose y-intercept is (0, 2). Answer A is correct.
C is the answer. By only looking at the domain (the stuff on the right in the functions), you can see that the first equation has a hole at x=2, meaning it does not have a value here at x=2. When x<2, there are values for the 1st function. When x>2, there are values for the second function, as well as when x=2
From the recursive rule, you can tell the initial value is 3 and the common ratio is 12. The explicit rule is always
.. (n-th term) = (initial value)*(common ratio)^(n -1)
Subsituting the values you know, you have
.. an = 3*12^(n-1)