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

1 Answer
Alan P.
May 8, 2016

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

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