The exponential function in its generic form is given by:
y = A (b) ^ x
Where,
A: initial amount
b: growth / decrease rate (b <1: decrease, b> 1: growth).
We have the following function:
y = 2 (4) ^ x
We observed that:
b = 4> 1
Therefore, the function is an example of exponential growth.
We look for the intersection with the y axis. For this, we evaluate the function for x = 0:
y = 2 (4) ^ 0
y = (2) * (1)
y = 2
Answer:
The function is an example of exponential growth.the y-intercept is:
y = 2
