Domain and range for 3(2^x)?

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Answer 1 · 2018-04-14T12:19:15

Domain: #(-oo,+oo)#, Range: #(0, +oo)#

#f(x) = 3*2^x#

#f(x)# is defined #forall x in RR#

Hence the domain of #f(x)# is #(-oo,+oo)#

#f(x) > 0 forall x in RR#

Hence the range of #f(x)# is #(0,+oo)#

We can deduce these results from the graph of #f(x)# below:

graph{3*2^x [-16.02, 16.01, -8.01, 8.01]}