Final answer:
Without the specific points given, we cannot determine which exponential function is correct. However, to find the right function, you would substitute the points into the given equations and see which function satisfies both. The general form of an exponential function is f(x) = a * b^x.
Step-by-step explanation:
To find the formula for an exponential function that passes through two given points, we need to ensure that the function satisfies the coordinates of these points. Unfortunately, the question seems to be incomplete as it doesn't provide the two specific points we need to consider. Nevertheless, I can guide you through the process of verifying which of the provided options will satisfy the required points once they are known.
General form of an exponential function can be given as f(x) = a · bx, where a is the initial value, b is the base of the exponential and x is the exponent representing the input variable. To determine which of the options a) f(x)=3·2x, b) f(x)=2·3x, c) f(x)=3·e2x, d) f(x)=2·e3x, fits the points provided, substitute the x and y values from the points into each function and see which one has both points satisfying the equation.