Answer:
C. 0 ≤ x ≤ 12
Step-by-step explanation:
The domain is the horizontal extent of the graph. The "reasonable domain" is the set of values of the independent variable for which the function makes sense.
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<h3>values of interest</h3>
Here, the graph is showing the gallons remaining in a pool after x minutes. In general, we're not interested in gallons for negative minutes. Nor are we interested in negative gallons.
<h3>domain of interest</h3>
The only part of the graph that makes any sense in this situation is the part of it in the first quadrant, where <em>y and x are both non-negative</em>. The values of x for this to be true are ...
0 ≤ x ≤ 12