Describe the shape of the graph of the cubic function by determining the end behavior and number of turning points.

Question

y=-4x^3

Answer 1

The cubic function y = -4x^3 has an odd degree (3) and a negative leading coefficient (-4).

This means that as x approaches negative infinity, the function value also approaches negative infinity, and as x approaches positive infinity, the function value also approaches positive infinity. The end behavior can be described as "downwards on the left and upwards on the right."

The number of turning points of a cubic function is determined by the degree of the function minus 1. In this case, the cubic function has 3-1=2 turning points.