How do you determine if the equation #y = 1/2 (5)^x# represents exponential growth or decay?
1 Answer
May 27, 2016
This function represent growth. For details see explanation.
Explanation:
To see if an exponential function is increasing or decreasing you look at the base. In a function

the function is increasing if:
#a>0# and#b>1# or#a<0# and#b<1# 
the function is decreasing if
#a<0# and#b>1# or#a>0# and#b<1#