See below for the solution to each question
The reasonable domain of V(x)
From the graph, we can see that:
V(x) have a positive value from x > 0 to x < 5.5
When x = 0 and ≥ 5.5, the values of V(x) are either 0 or negative
Hence, the reasonable domain of V(x) is 0 < x < 5.5
The value of x that gives the maximum volume
From the graph, the maximum value of V(x) is at
V(2) = 182
Hence, the approximate value of x that gives the maximum volume is 2
The values of x where the volume increases
This is the interval where V(x) increase as x increase
From the graph, V(x) increase from x > 0 to x = 2
Hence, the approximate values of x where the volume increases are 0 < x ≤ 2
The interpretation of the point of intersection
The other function is
B(x) = 140
So, the point of intersection represent where the volume is 140
Read more about volume function at:
https://brainly.com/question/10373132
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