Answer:
Step-by-step explanation:
An exponential decay function where a is the initial value and 0<b<1.
Given the function:
or we can write this as;
......[1]
The domain for this function is all real number and the range is, y>0.
also this function is decreasing because b = < 1.
First find the y-intercept:
y-intercepts defined as the graph crosses the y-axis
substitute x =0 in [1] to find x;
y-intercepts: (0, 1).
End behavior of the given function:
as we increase x, f(x) values grows smaller and approaching to zero i.e,
as ,
as we decreases s, f(x) grows without bound. i.e,
as ,
As you can see the graph of this function below in the attachment.