Write a possible exponential function in y = a · bx form that represents each situation described below. homework ✎
has a y‑intercept of (0, 2) and passes through the point (3, 128).
passes through the points (0, 4) and (2, 1).

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

step-by-step explanation:

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