A heated piece of metal cools according to the function c(x) = (.5)x − 11, where x is measured in hours. A device is added that
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Answer:
The graph of this piece-wise function is attached below.
Step-by-step explanation:
Given the function
- A piece-wise function is a function which has multiple pieces.
- Each of the pieces have their own restrictions.
- The domain of a function is the set of input, or x, values for which the function is defined.
- The range is the set of all values taken by the function
As the piece
has the domain [-5, 3) and graph of this piece is attached below.
and
has the domain [3, 7) and graph of this piece is attached below.
So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval .
i.e.
Domain: [-5, 3) U [3, 7)
Range:
The graph of this piece-wise function is attached below.
<em>Keywords: piece-wise function, domain, range</em>
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