A particular sequence can be represented by $t(n)=2(3)^n$.

1. What are $t(0)$, $t(1)$,$t(2)$, and $t(3)$?

   Answer (a):

   $2, 6, 18, 54$

2. Graph this sequence. What is the domain?

   Hint (b):

   

   Answer (b):

   Domain: non-negative integers

3. On the same set of axes, graph the function $f(x)=2(3)^x$ .

   Answer (c)

   

4. How are the two graphs similar? How are they different?

   Hint (d):

   How do their shapes compare?
   Are they discrete or continuous?