Rate of Change, Intervals of Inc/Dec, Concavity
Authored by William Rodgers
Mathematics
11th Grade
CCSS covered
Used 59+ times
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12 questions
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1.
CATEGORIZE QUESTION
3 mins • 1 pt
Organize these options into the right categories.
Groups:
(a) Function is increasing
,
(b) Function is decreasing
Tags
CCSS.HSF-IF.C.7B
2.
CATEGORIZE QUESTION
3 mins • 1 pt
Organize these options into the right categories.
Groups:
(a) Function is concave up.
,
(b) Function is concave down.
Tags
CCSS.HSF-IF.C.7B
3.
CATEGORIZE QUESTION
3 mins • 1 pt
Organize these options into the right categories.
(Must remember cold... ROC is increasing -> concave up)
Groups:
(a) The ROC is increasing.
,
(b) The ROC is decreasing.
Tags
CCSS.HSF.IF.B.4
4.
MATCH QUESTION
3 mins • 1 pt
Match each graph to the correct description.
Remember:
If the ROC of f is positive -> f increases
If the ROC of f is increasing -> f is concave up
The ROC is positive and decreasing.
The ROC is negative and increasing.
The ROC is positive and increasing.
The ROC is negative and decreasing.
Tags
CCSS.HSF.IF.B.4
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The extrema for the graph of f and the point of inflection of the graph of f are labeled where A, B, C, D, and E represent the x-coordinates at those points.
On which interval is f increasing at an increasing rate?
the interval from A to B
the interval from B to C
the interval from C to D
the interval from D to E
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The extrema for the graph of f and the point of inflection of the graph of f are labeled where A, B, C, D, and E represent the x-coordinates at those points.
On which interval is f decreasing and the graph of f concave up?
the interval from A to B
the interval from B to C
the interval from C to D
the interval from D to E
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The extrema for the graph of f and the point of inflection of the graph of f are labeled where A, B, C, D, and E represent the x-coordinates at those points.
Which statement and explanation is correct concerning the interval from C to D?
On the interval from C to D, the graph of f is increasing because the graph of f is concave down.
On the interval from C to D, the graph of f is increasing because the rate of change of f is increasing.
On the interval from C to D, the graph of f is increasing because the rate of change of f is positive.
On the interval from C to D, the graph of f is increasing because the rate of change of f is linear.
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