represents the relationship between the volume of a sphere and its radius. What does the end behavior tell you about the relationship between the volume of the sphere and its radius?(1 point)
Responses
As the radius decreases to negative infinity, the volume of the sphere will increase to infinity.
As the radius decreases to negative infinity, the volume of the sphere will increase to infinity.
As the radius decreases to negative infinity, the volume of the sphere will remain constant.
As the radius decreases to negative infinity, the volume of the sphere will remain constant.
As the radius increases to infinity, the volume of the sphere will increase to infinity.
As the radius increases to infinity, the volume of the sphere will increase to infinity.
As the radius increases to infinity, the volume of the sphere will decrease to negative infinity.
1 answer
The correct interpretation of the end behavior of the equation \( V = 43\pi r^3 \) is:
As the radius increases to infinity, the volume of the sphere will increase to infinity.
Thus, the appropriate response is:
This reflects the fact that as the radius of a sphere grows larger, its volume grows larger at a rapid rate, given the cubic relationship between volume and radius.
