Posted by Hunter on Sunday, January 1, 2012 at 7:14pm.
Determine the domain,range and horizontal asymptote of f(x)=(3/2)^(4x). Graph the function

Functions, domain,range etc  Reiny, Sunday, January 1, 2012 at 8:19pm
typical exponential function
domain: any real value of x
range : y >0
as x> +∞ , f(x) > 0
so the xaxis is a horizontal asymptote for large x
e.g. (3/2)^500 = 9.0 x 10^89 , awfully close to zero
as x >  ∞ , f(x) > ∞
e.g. (3/2)^500 = 1.11 x 10^88 , pretty big