How do you determine if the equation #y = 30(2^x)# represents exponential growth or decay?

1 Answer
Jul 5, 2016

The eqn. represents Exponential Growth.

Explanation:

The eqn. represents exponential growth. This is since the Exponential fun. #2^x# is an increasing fun., i.e., to say that as #x# increases, so does #f(x)=2^x# and hence, #y=30*2^x#.

In general, an Exponential Fun. #F(x)=a^x, x in RR# is increasing fun., if #a>1# and is decreasing if # a in (0,1).#

In case, this is helpful, the pleasure all mine! Enjoy Maths.!