Question 35459
You should begin by trying to figure out the pattern of numbers in the x and y table.  Notice that the x values are integers, and the y values start with very small decimal numbers and become extremely large very quickly.  This would be an indication that it is an exponential equation.  In fact, notice that all the y numbers are powers of 4, beginning with {{{4^-2 = 1/16 = .0625}}}, {{{4^-1= 1/4 = .25}}}, {{{4^0=1}}}, {{{4^1=4}}}, and {{{4^2 = 16}}}.  The equation of the graph is therefore {{{y = 4^x }}}.


The graph should look like this:  {{{ graph (300, 300, -3, 3, -3, 20, 4^x)}}}

Domain is the set of all x values, which for these specific points would be the set containing just these 5 x-values { -2, -1, 0, 1, 2}, and the range is the set of y values, which would be these 5 y-values:  { .0625, .25, 0, 1, 4, 16}


When you take the entire graph into account, you should look at the graph, and identify, what values of x and y respectively give you points on the graph.  


Notice that x could be any value from - infinity to + infinity.  In interval notation that would be Domain = (- inf, inf) or all real numbers.  


Notice that y never becomes negative, and it cannot equal zero, although it gets very close to zero.  Therefore, the range is (0, inf).


R^2 at SCC