Find values of a,b, and c for exponential function f(x) = cb^-x + a. Given that horizontal asymptote is y=72. Y-intercept is 425 and point P(1,248.5) lies on the graph.
Can anyone explain this step-by-step?
Find values of a,b, and c for exponential function f(x) = cb^-x + a. Given that horizontal asymptote is y=72. Y-intercept is 425 and point P(1,248.5) lies on the graph.
Can anyone explain this step-by-step?
as x gets large, $\displaystyle cb^{-x}$ gets very small ... $\displaystyle a = 72$
y-intercept at $\displaystyle x = 0$ ... $\displaystyle cb^0 + 72 = 425$ ... $\displaystyle c = 353$
$\displaystyle x = 1$ ... $\displaystyle 248.5 = 353 \cdot b^{-1} + 72$
you solve for $\displaystyle b$.