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?

Answer 1

The equation V = 43πr^3 is a cubic equation, where the volume (V) of the sphere is directly proportional to the cube of its radius (r^3).

Since the exponent of r is 3, the end behavior of this equation tells us that as the radius of the sphere increases or decreases, the volume will increase or decrease even more dramatically. This means that the volume of the sphere increases at a much faster rate than its radius.