What is the domain and range of #y=4^x#?

1 Answer
May 8, 2016

Answer:

Domain: All Real values
Range: All Real values greater than zero.

Explanation:

#4^x# is defined for all Real values of #x#
#color(white)("XXX")#Domain(#x#) #=RR#

#y=4^x# approaches #0# as #xrarr-oo#
#color(white)("XXX")#and approaches #+oo# as #xrarr+oo#
It is continuous in this range (takes on all possible values).
Therefore Range(#y#) #=(0,+oo) in RR#