Asked by Hunter
Determine the domain,range and horizontal asymptote of f(x)=(3/2)^(4-x). Graph the function
Answers
Answered by
Reiny
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
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
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