Answer:
Step-by-step explanation:
We're given both the y-intercept and a point on the graphs of both functions, so our work her is largely just substituting x and y values in the general form of the equation for an exponential function.
For the first one, we can start by using the point (0, 2) to solve for a:
Next, we can use that a-value and the second point to solve for b:
This gives us the equation for the first function.
We can repeat the same process for the second function. Solving for a:
And then for b, using the point (2, 1):
This gives us the general equation