If a sprinkler waters 1 over 20 of a lawn in 1 over 5 of an hour, how much time will it take to water the entire lawn?
2 answers:
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Answer:
.
Step-by-step explanation:
From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable ( in this case) so that images exist and the range of a function is the set of images.
In this case, we know the domain and range of and we must find the domain and range of
.
Domain
The domain of is the domain of
. That is,
.
Range
We have to define the bounds of the range of , given that range
is modified by streching and horizontal translation operations:
Lower bound ()
Upper bound ()
In consequence, the range of is
Solution (1)
for k=0 / for k=1 / for k=-1
x=0 / x=2π / x=-2π
acc / acc / rej
solution (2)
for k=0 / for k=1 / for k=-1
x=0 / x=2π/3 / x=-2π/3
acc / acc / rej
Note that i'm trying values of K which make the answer belong to our interval;
So our solution which i will represent as a set is;
S € {0,2π/3,2π}