Question

Can someone help and explain it to me pls?

Answer 1

Option C, 0 ≤ x ≤ 12

Explanation:

the domain of a function is the set of inputs accepted by the function so all possible x values.

Since x-axis is time, time can never be negative

so the lowest x value is 0

the heights x values is the x intercept which is 12

hence option C

Ley me know if you have any questions!!!

Answer 2

C. 0 ≤ x ≤ 12

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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values of interest

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.

domain of interest

The only part of the graph that makes any sense in this situation is the part of it in the first quadrant, where y and x are both non-negative. The values of x for this to be true are ...

0 ≤ x ≤ 12