This is Critical
A critical point is when a derivative is this or that?
What is zero or undefined?
When testing for an absolute max or min value, we plug values into this equation.
What is f(x)?
This derivative tells us whether a function is increasing or decreasing.
Graph #1
What are the critical points?
What is x = -4, 2, 6
This day takes place on Feb 2nd.
What is Groundhog Day?
The critical points for f(x) =
(x^3)/3 -x^2 - 15x + 4
What is x = 5, -3?
A continuous function is guaranteed to have an absolute maximum and minimum value on a closed interval according to this theorem.
What is the Extreme Value Theorem?
This c-word is found from the 2nd derivative.
What is concavity?
Graph #1
When is the graph concave up?
What is (-7, -1) U (4, 10)
There are this many states that start with the letter P.
What is one?
When does f(x) have a relative minimum? f(x) =
x^3 - 12x^2
What is 8?
The absolute minimum value over the interval [0, 3] of f(x) =
x^2 - 4x + 4
What is 0? (It occurs at x = 2.)
This point in the domain of a function is found when the 2nd derivative changes sign.
What is an inflection point?
Graph #2
Where does f(x) have a minimum?
What is x = -1?
The 13th number of the Fibonacci sequence. 0, 1, 1, 2, 3, ...
What is 144?
How many critical points does this function have?
(x - 2)/(x + 4)
What is 2?
The absolute maximum value over the interval [0, 3] of f(x) =
x^2 - 4x + 4
What is 4? (It occurs at x = 0.)
The interval where this function is increasing. f(x) =
x^2 - 6x + 9
What is [3, infinity)?
Graph #2
Where does f(x) have a POI?
What is x=-3, 3 ?
The part of the cinnamon tree used to make cinnamon spice.
a.roots b.bark c.leaves d.berries
What is bark?
The critical points for f'(x) =
2/sqrt(x-9)
What is 9?
When finding the absolute max or min over a closed interval, we should test these values.
What are the endpoints and the critical points?
The x-coordinate of the inflection point of f(x) =
x^3 + 2x^2
What is
-2/3?
Graph #3
Where is f(x) increasing AND concave down?
What is (-6,-3) U (6, 8).
The king of this suit is the only one without a moustache.
What is hearts?