To find: The domain and the range of the function.
The domain of the function F(t) is .
The range of the function F(t) is .
The function .
The domain is the set of all input values of the function for which the function is real and defined.
Recall the fact that the domain of the cosine function is and the range .
Note that the adding 3 to the cosine function does not change the domain.
Thus, domain of the function is .
The range of the cosine function is .
That is, .
For , the range of the function is obtained as follows.
Thus, it can be concluded that the range of the function is .
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