Find a possible exponential function in y = a · bx form that represents each situation described below. Homework Help ✎
Has an initial value of 2 and passes through the point (3, 128).
Passes through the points (0, 4) and (2, 1).
Since it has an initial value of 2, the value of a is 2. Substitute this into the general equation y = abx.
Substitute the values 3 for x and 128 for y, then solve for b.
Create two equations substituting the values of the ordered pairs for x and y into the equation y = abx.
Solve the system of equations for a and b.
Be sure you use your results for a and b to write the equation.