How do you find the domain and range of #y=2^(-x) #?

1 Answer
Dec 16, 2017

Answer:

Domain: #x in RR#
Range: #{y|0<=y}#

Explanation:

The function is defined for all real numbers, so the domain is:
#{x inRR}#

Since the value of any exponential with a positive base can never be #0#, and the function goes to positive infinity, we can using the fact that it is continuous on this interval conclude that the range must be:
#{y|0<=y}#