Graph the function f(x)=2(2)^x for -3< =x< =2.what are the coordinates off the y- intercept? determine the range of this function for its given domain? how would the graph be different if the original function was changed to f(x)=2(3)^x?

See attached graph (from -4<=x<=2 )

The y-intercept is the multiplier to the exponential, i.e. 2.

The graph goes from (-3,1/4) to (2, 8), so the range in interval notation is [1/4,8] 

If f(x)=2(3^x), then the y-intercept stays the same at 2.  The graph goes from (-3, 2/27) to (2,18), and the corresponding range will be [2/27, 18].
See second graph for more information.