A curve has equation y=k enx+a, where k,n,a are integers and kn 0. Its horizontal asymptote is y=2,

Question

A curve has equation y=k enx+a, where k,n,a are integers and kn 0. Its horizontal asymptote is y=2, its y-intercept is -1, and it passes through (ln2,-10). Find k,n,a, then sketch the curve with its intercepts and asymptote.

Accepted Answer

$k=-3,n=2,a=2$; $(0,-1)$, $\left(\dfrac12\ln\!\left(\dfrac23\right),0\right)$; asymptote $y=2$.

Recovering an exponential graph equation

Recovering an exponential graph equation

Solution:

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