The graph shown in figure is exponential. Write down the equation corresponding to the graph.

y = - 4 + 8 e^{K x}

Here, K is a positive constant

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y = 4 + 8 e^{K x}

Here, K is a positive constant

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y = - 4 - 8 e^{K x}

Here, K is a positive constant

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y = 4 - 8 e^{- K x}

Here, K is a positive constant

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Solution

The correct option is C $y = 4 - 8 e^{- K x}$ Here, K is a positive constant
From graph it is clear that, $x \geq 0, - 4 \leq y \leq 4$ Also $\frac{d y}{d x} > 0 \forall x \in R$
Only option 'D' satisfying these criteria, hence it is correct choice.

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