The function v(t) is a composite function of the stock functions f(t) and g(t)
Add the functions f(t) and g(t)
The functions are given as:
f(t) = 12(1.20)^t
g(t) = -4.5t
When both functions are added, we have:
v(t) = 12(1.20)^t - 4.5t
The graph of the function v(t)
See attachment for the graph of the function v(t)
The initial value from the graph
This is the point where t = 0
From the graph of the function, the initial value is 12
The final value from the graph
This is the point where t = 8
From the graph of the function, the final value at the end of the day is 15.598
The behavior of the stock
From the graph, we can see that the stock value decreases to a minimum and then increases.
When the stock is at the lowest
From the graph, we can see that the stock value is at t = 3.955
This means that the stock is at the lowest after about 4 hours
Read more about composite function at:
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