Name: ______________________________________ Chapter 5.1-5.5 Quiz

On another piece of paper, show your work in finding the following key elements of the given functions:

a.) Zeros (2 pts) d.) increasing and decreasing intervals (2 pts)b.) critical points (2 pts) e.) inflection points (2 pts)c.) relative extremum (2 pts) f.) concave up and concave down intervals (2 pts)

Sketch the graph and label the key element (2 pts). VIDEO ASSIGNMENT PROBLEMS: Use the rubric at the bottom of this page to make a video explanation of the two “Video Assignment Problems”.

1.) f(x) =

13x4−3 x2

2.) g(x) = 2 x3−9x2−108 x+2

3.) h(x) = −x2+3 x+4 4.) h(x) =

1

( x+2 )2

5.) g(x) =

x2−4x2−1 6.) f(x) =x √x2+1

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VIDEO ASSIGNMENT RUBRIC

Explanation-- Shows understanding through prepared connections and explanation- Uses good Calculus language (sounds like the mathematician we all are) - Key concepts summed up/defined (words like critical points summed up)- A good resource to use for other students

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Layout of Work- Nice and easy for viewers to follow- Organized and key elements clearly answered- Prepared and presented within 15 minutes at most

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Problem 1- All elements addressed - Graph is labeled and accurate- Each element was correct

1 2 3 4 5Problem 2

- All elements addressed - Graph is labeled and accurate- Each element was correct

1 2 3 4 5