Final answer:
The exponential function equation that passes through the points (0,1) and (1,3) is y = 1 * 3^x.
Step-by-step explanation:
The exponential function equation that passes through the points (0,1) and (1,3) can be written in the form y = ab^x, where a is the initial value and b is the common ratio. To find the values of a and b, we can substitute the coordinates of the points into the equation.
For the point (0,1), we have 1 = ab^0, which simplifies to 1 = a. Therefore, a = 1.
For the point (1,3), we have 3 = 1 * b^1, which simplifies to 3 = b. Therefore, b = 3.
So the exponential function equation that passes through the points (0,1) and (1,3) is y = 1 * 3^x.