The sequence defines a function
Domain :
Range :
Explanation:
A sequence defines a function if it is the set of natural numbers.
Thus, the function is given by
The sequence can be determined by substituting the values for x.
For ,
For ,
For ,
For ,
For ,
Thus, from these the domain and range of a function can be determined.
The domain of a function is the set of independent values, which are generally the x-coordinates.
Domain of a function is
The range of a function is the set of dependent values obtained by substituting the values for x.
Range of a function is
Answer:
200 ft 200
t = -------------------- = ---------- min
(S + T) ft/min S + T
Step-by-step explanation:
Recall that distance = (rate)(time).
The distance traveled by the turtle in t minutes is dt = (T ft/min)(t), and
the distance traveled by the snail in t minutes is ds = (S ft/min)(t). We know that ds + dt must be 200 ft.
Thus,
(S ft/min)(t) + (T ft/min)(t) = 200 ft.
The variable t, representing elapsed time, is common to both terms on the left. Thus,
200 ft 200
t = -------------------- = ---------- min
(S + T) ft/min S + T
Answer:
S+T
Step-by-step explanation: