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$f(x)= ae^{-bt}+c$ is given and plotted. A few points are plotted on the curve. $x$-coordinates are provided for two of them and $y$-coordinate provided for third. Student is required to determine other coordinates.

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This is a calculator question.

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This is the graph of the function $f(t) = \\simplify{{a}e^({b}t)+{c}}$.

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{plot(a,b,c,x0, f0, x1, f1, x2, f2)}

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The $x$-coordinate of $A$ is $\\var{x0}$ and of $B$ is $\\var{x1}$. The $y$-coordinate of $C$ is $\\var{f2}$.

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Determine the coordinates of $A,B$ and $C$. Give your answer to 3 s.f..  

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Coordinates of A: [[0]]

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Of B: [[1]]

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Of C: [[2]]

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