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Calculus Graphic Behavior
For concavity, increasing or decreasing, positive or negative, etc.
15
Mathematics
12th Grade
11/27/2011

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Cards

Term
If f(x) is increasing, then f'(x) is...
Definition
positive
Term
If f'(x) is negative, then f(x) is...
Definition
decreasing
Term
 F''(x) is positive if f(x) is...
Definition
concave up
Term
F''(x) is negative if f'(x) is 
Definition
concave down
Term
If f'(x) is increasing, then f''(x) is
Definition
positve
Term
If f'(x) decreasing, then f(x) is
Definition
concave down
Term
If f(x) has an inflection point, then f(x) has a...
Definition
change in concavity
Term
If f(x) has a horizontal tangent, then f'(X) has a...
Definition
Zero
Term
If f'(a)=0, then f(x) has a _____ at ____.
Definition
horizontal tangent ... a
Term
If f'(x) has a change of sign and is always defined, then f(x) has either a ____ or ____.
Definition
Max or min
Term
If f(x) has a corner at x=a, then f'(a) is...
Definition
non-existant 
Term
If f'(x) = 0 for all calues of x, then f(x) is a 
Definition
Horizontal Line
Term
If f"(x) = 0 for all values of x, then f(x) is a 
Definition
line/linear
Term
If f'(a) = 2 and g(x) = f(x) - 5, then g'(a)=?
Definition
2
Term
If f(x) is concave down everywhere, then -f(x) is 
Definition
concave up
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