The graph of an exponential function has a y-intercept of 9 and contains the point (2,144). Construct the function describes the graph.

Step-by-step explanation:

The exponential form observes the following form:

(Eq. 1)

Where:

, - Coefficients, dimensionless.

- Independent variable, dimensionless.

- Dependent variable, dimensionless.

According to the number of coeffcients, we need two different points such that all values are found. In this case, we know that:

,

And the resulting system of non-linear equations is described below:

(Eq. 1)

(Eq. 2)

From (Eq. 1), we find that:

And finally we solve (Eq. 2) for B:

The exponential function is , whose graph is presented below.

step-by-step explanation:

what