Homework: Absolute and Relative Extrema

Hi all, your homework is to find the absolute and relative extrema (maxima and minima) of these functions. Remember:
1. Find the critical point and draw a number line with the critical point and the end points on it.

2. Find the slope around those points, which will tell you whether the point is a max or a min.
      - for example, if the right end point has positive slope leading to it, then that would mean that the endpoint must be a maximum.

3. Find the y values (by plugging the x values into f(x)) for each max and min, then determine which is the absolute max and which is the absolute min. There has to be one of each, unless there is no maximum or minimum at all.

Functions:

Here are the problems we did in class that may help:

Midterm Review Sheet and Answer Key

Hi all,

Here is the BLANK COPY of the review sheet if you want to try them from scratch! And HERE is the ANSWER KEY

Best,
Mr. Yoon

Assessment: Graphing with Zeros

Please study the notes here!!!!

Graphing Using Zeros: Practice

Here are the notes from today, and here are the homework problems to graph.

In addition to our notes, please look at this site . (You are going to appreciate it)

Remember,

1) At x-intercepts, y = 0

2) At critical points(determines max/min), y' = 0

3) At inflection points(determines concavity), y'' = 0

Graphing Using Zeros

Click HERE for notes!

Homework:
Graph the following using x-intercepts, critical points, and inflection points.

Remember:

1) At x-intercepts, y = 0

2) At critical points(determines max/min), y' = 0

3) At inflection points(determines concavity), y'' = 0

Selected Answers to "Critical Points"