The equation V=43πr3 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)%0D%0AResponses%0D%0A%0D%0AAs the radius increases to infinity, the volume of the sphere will decrease to negative infinity.%0D%0AAs the radius increases to infinity, the volume of the sphere will decrease to negative infinity.%0D%0A%0D%0AAs the radius decreases to negative infinity, the volume of the sphere will increase to infinity.%0D%0AAs the radius decreases to negative infinity, the volume of the sphere will increase to infinity.%0D%0A%0D%0AAs the radius decreases to negative infinity, the volume of the sphere will remain constant.%0D%0AAs the radius decreases to negative infinity, the volume of the sphere will remain constant.%0D%0A%0D%0AAs the radius increases to infinity, the volume of the sphere will increase to infinity.%0D%0AAs the radius increases to infinity, the volume of the sphere will increase to infinity.
1 answer
The equation \( V = \frac{4}{3}\pi r^3 \) describes the volume of a sphere in terms of its radius \( r \). As the radius \( r \) increases, the volume \( V \) also increases, specifically in proportion to the cube of the radius.
The end behavior of the equation can be summarized as follows:
So the correct response is:
As the radius increases to infinity, the volume of the sphere will increase to infinity.
