The graph of an exponential function y = 2 + | vedclass

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(A) From the given graph,we can observe that the curve passes through the point $(0, 6)$.This means that when $x = 0$,$y = 6$.Substituting these value

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$4$

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(A) From the given graph,we can observe that the curve passes through the point $(0, 6)$.This means that when $x = 0$,$y = 6$.Substituting these values into the given equation $y = 2 + ae^{-x}$:$6 = 2 + ae^{-0}$Since $e^0 = 1$,we have:$6 = 2 + a(1)$$6 = 2 + a$$a = 6 - 2$$a = 4$Therefore,the value of $a$ is $4$.

The graph of an exponential function $y = 2 + ae^{-x}$ is shown in the figure. What is the value of $a$?

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