To find: The exponential function which is of the form for the given graph.
The equation of the graph is .
It is given that the equation of the given graph is of the form .
Here, the graph represents a curve which passes through the points (3, 24) and (1, 6).
Substitute these points in ,
Divide the equation (1) by equation (2) and obtain the value of b as follows.
Ignore the negative value of b as it cannot take the negative values.
Thus, the value of b = 2.
Substitute in equation (1) and obtain the value of C.
Therefore, the value of C = 3.
Substitute the value of b and C in and obtain the required equation.
Therefore, equation of the exponential function which passes through the points (3,24) and (1,6) is .
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!