Answer:
.
Explanation:
Let denote this exponential function for some constant and () that need to be found.
Assume that the graph of the function goes through the point . Substituting in and should satisfy the equation of this function:
For example, goes through the point . Substituting in and should then satisfy the equation of this function:
Similarly, since the graph of this function goes through where and :
In general, the constant in such systems could be eliminating by dividing one equation by the other. For example, dividing by gives:
Simplify to obtain:
Since the exponent of is an odd number, the sign of should also be positive- same as the sign of . Extra steps would be required if the exponent of is even.
Raise both sides to the th power to find the (unique) value of :
Substitute back into either equation (for example, ) to find the value of :
Thus, this exponential function would be .
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