SOLUTION: Determine whether the equation represents exponential growth, exponential decay, or neither. y=16.5(1.025)^1/x

Algebra ->  Rational-functions -> SOLUTION: Determine whether the equation represents exponential growth, exponential decay, or neither. y=16.5(1.025)^1/x      Log On


   

Question 1137505: Determine whether the equation represents exponential growth, exponential decay, or neither.
y=16.5(1.025)^1/x
Found 2 solutions by greenestamps, Theo:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


An equation with an exponent of the form 1/x is not an exponential equation -- either growth or decay.

ANSWER: neither

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the equation is y = 16.5 * (1.025) ^ (1/x)

i don't believe this is an exponential function.

here's what i found as a definition of an exponential function.

The domain of exponential functions is all real numbers. The range is all real numbers greater than zero. The line y = 0 is a horizontal asymptote for all exponential functions. When a > 1: as x increases, the exponential function increases, and as x decreases, the function decreases.

since your exponent is 1/x, then the domain is not all real values of x, since there is a discontinuity at x = 0.