Lesson: Extrema of a Function Graph

In this lesson, we will learn how to interpret the minimum and maximum values and the end behavior of a function graph.

Sample Question Videos

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Worksheet: 7 Questions • 3 Videos

Q1:

Find the maximum or minimum value of the function , given .

Q2:

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.

Q3:

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?

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