Consider the graph of the quartic shown.
Which of the points , , and is a local maximum?
Which of the points , , and is a local minimum?
Which of the points , , and is a global minimum?
By considering the end behavior of the quartic, determine whether the leading coefficient is positive or negative.
Consider the cubic graph shown.
What are the coordinates of the local maximum?
What are the coordinates of the local minimum?
If we consider the end behavior of this cubic, it enters into the bottom left quadrant and exits from the top right quadrant. Is the leading coefficient of this cubic positive or negative?