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)

Question

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 increases to infinity, the volume of the sphere will decrease to negative infinity.
As the radius increases to infinity, the volume of the sphere will decrease to negative 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 increase to infinity.

As the radius decreases to negative infinity, the volume of the sphere will remain constant.

Answer 1

The correct interpretation of the end behavior in the context of the equation \( V = 43\pi r^3 \) is:

As the radius increases to infinity, the volume of the sphere will increase to infinity.

This is because the volume \( V \) depends on the cube of the radius \( r \), and as \( r \) increases, \( r^3 \) also increases, causing the volume \( V \) to increase accordingly. The other statements are not accurate representations of the relationship.