Step 1:

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The function is $\"\"$ .

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From the graph, the function passing through the points are $\"\"$ .

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In the function, y and t are the variable, C and k are constants.

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So, find the values of C and k substituting the points.

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Substitute $\"\"$ in the function $\"\"$ .

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$\"\"$

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Apply logarithm on each side.

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$\"\"$

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$\"\"$ equation (1)

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Substitute $\"\"$ in the function $\"\"$ .

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$\"\"$

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Apply logarithm on each side.

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$\"\"$

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$\"\"$ equation (2)

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Step 2:

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Find the values of C and k.

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Solve for k.

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Subtract equation (2) from equation (1).

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$\"\"$

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$\"\"$

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Now substitute $\"\"$ in equation (1).

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$\"\"$

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Substitute $\"\"$ and C = 6.29 in the function $\"\"$ .

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$\"\"$

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Solution :

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The exponential function is $\"\"$ .