Question 697618
Using a graphing calculator to graph {{{2^(x-1)-3}}}, we get the following


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0,2^(x-1)-3)

)}}}


From the graph we can see that the 


Domain: set of all real numbers


Range: {{{y > -3}}} where y is a real number (basically anything greater than -3 is in the range)