To find: The exponential function which is of the form for the given graph.
The equation of the graph is .
It is given that the equation of the given graph is of the form .
Here, the graph represents a curve which passes through the points (−1, 3) and .
Substitute these points in ,
Substitute equation (1) in equation (2) and obtain the value of b as follows.
Ignore the negative value of b as it cannot take the negative values.
Thus, the value of .
Substitute in equation (1) and obtain the value of C.
Therefore, the value of C = 2.
Substitute the value of b and C in and obtain the required equation.
Therefore, the equation of the exponential function which passes through the points (−1,3) and is .
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