Compare the functions shown below:

f(x) = x3 + 2x2 − 4x − 3
g(x)

polynomial graph with x intercepts at negative 2, negative 1, 1, 3, y intercept at 6
h(x)

trig graph with points at 0, 3 and pi over 2, 0 and pi, negative 3 and 3 pi over 2, 0 and 2 pi, 3
over the interval x = 0 to x = 2π

which function has the most x-intercepts?

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone. since the volume of a cone is part of the volume of a cylinder with the same base and height, find the volume of a cylinder first. the base of a cylinder is a circle. the area of the base of a cylinder is , where r represents the radius. the volume of a cylinder can be described as slices of the base stacked upon each other. so, the volume of the cylinder can be found by multiplying the area of the circle by the height h of the cylinder. the volume of a cone is of the volume of a cylinder. therefore, the formula for the volume of a cone is 1/3 1/2 1/3πr^2h 1/2πr^2h πr^2h πr^2

Franco wants to double the volume of the cone. what should he do?

Look at the following graph of the given equation. determine whether the equation is a function. explain why or why not.