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Answer 1 · 2018-02-14T19:13:55

See below.

There are no restrictions on #x#, so domain is:

#{x in RR }#

as: #x-> oo# #color(white)(888)4(2)^x->oo#

For negative #x# we have:

#4/2^x#

So:

as: #->-oo# #color(white)(888)4(2)^2->0#

So the range is:

#{y in RR | 0 < y < oo}#

This is confirmed by the graph of #y=4(2)^x#

graph{y=4(2)^x [-28.86, 28.88, -14.43, 14.45]}