Determine the domain,range and horizontal asymptote of f(x)=(3/2)^(4-x). Graph the function

Answer 1

typical exponential function

domain: any real value of x
range : y >0

as x---> +∞ , f(x) ----> 0
so the x-axis 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