NOTES - 4.5 - Curve Sketching Quiz
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7/30/2019 NOTES - 4.5 - Curve Sketching Quiz
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Quiz 4.5 Curve Sketching
NAME: _____________________________________________ DATE: ________________
Directions:
Write down a list of steps that YOU use in order to sketch a curve using calculus. This list may be
similar to the handout given in class, but it must be in your own words. You do not have to use all
the lines, or all the steps.
Then use your list to sketch the graph of the given function, and answer all questions.
STEPS:
1. ___________________________________________________________________________________
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2. ___________________________________________________________________________________
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3. ___________________________________________________________________________________
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4. ___________________________________________________________________________________
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5. ___________________________________________________________________________________
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6. ___________________________________________________________________________________
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7. ___________________________________________________________________________________
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8. ___________________________________________________________________________________
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9. ___________________________________________________________________________________
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10. ___________________________________________________________________________________
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EX: Sketch the graph of the function1
2
2
2
=
x
xy , label each step you use. (use graph on next page)
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7/30/2019 NOTES - 4.5 - Curve Sketching Quiz
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8 6 4 2 2 4 6 8
8
6
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2
2
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Please answer these questions in complete sentences.
How can we tell the interval on which the function is increasing? _____________________________
__________________________________________________________________________________.
How can we tell the interval on which the function is concave down? __________________________
__________________________________________________________________________________.
How can we find the critical values of a function? __________________________________________
__________________________________________________________________________________.
What is a point of inflection? __________________________________________________________
___________________________________________________________________________________.
How can I tell if a critical value is a max or a min? __________________________________________
___________________________________________________________________________________
__________________________________________________________________________________
__________________________________________________________________________________
