The equation of tge function that models the data is f(x) = 5(3)ˣ
Writing a function that models the data.
From the question, we have the following parameters that can be used in our computation:
The graph
The function is an exponential function in its parent form
By definition, an exponential function in its parent form is represented as
f(x) = abˣ
Where
a is the function value when x = 0
Using the point (0, 5), we have
a = 5
So, we have
f(x) = 5bˣ
Using the point (1, 15), we have
5b¹ = 15
b = 3
So, we have
f(x) = 5(3)ˣ
Hence, the function is f(x) = 5(3)ˣ