Polynomial Curve Sketching Calculus
Authored by Barbara White
Mathematics
11th - 12th Grade
CCSS covered
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17 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The concavity of a function is described by its _______________.
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
For a function g(x), g''(3)=28 indicates that g(x) is ____________ at x=3.
increasing
decreasing
concave up
concave down
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
When is a function concave up?
f"(c) < 0
f'(c) < 0
f"(c) > 0
f'(c) > 0
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
When is a function concave down?
f"(c) < 0
f'(c) < 0
f"(c) > 0
f'(c) > 0
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Where do you find intervals where a function is increasing?
f'(x) > 0
f"(x) > 0
f'(x ) < 0
f"(x) < 0
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is a point of inflection?
When a function goes from increasing to decreasing
When a function goes from concave up to concave down
When a function goes from decreasing to increasing
When a function crosses the x-axis
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Where are the critical numbers of a function?
The derivative of the function equals zero
The function has a domain restriction
The function equals zero
The derivative equals zero or the function does not exist
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