Rates of Change

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Last updated 12:21 AM on 8/24/25
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14 Terms

1
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If the rate of change of f is positive the graph of f is…

increasing

2
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If the rate of change of f is negative the graph of f is…

decreasing

3
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If the rate of change of f is increasing the graph of f is…

concave up

4
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If the rate of change of f is decreasing the graph of f is…

concave down

5
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If the rate of change is positive this means that… (how do the inputs and outputs vary?)

as one value increases or decreases, the other value does the same.

6
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If the rate of change is negative this means that… (how do the inputs and outputs vary?)

as one value increases, the other value decreases in quantity and vice versa

7
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A linear functions average rate of change, changes at a rate of…

ZERO

8
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A quadratic functions rate of change is changing at a…

constant rate (the rate of change over consecutive equal-length input-value intervals is linear.)

9
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talking about the intervals (aroc or roc)

RATE OF CHANGE (increasing/decreasing/constant) (positive/negative/zero)

10
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talking about concavity (aroc or roc)

AVERAGE RATE OF CHANGE

11
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Average rate of change is increasing…

concave up

12
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Average rate of change is decreasing…

concave down

13
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RATE OF CHANGE OF F descriptors (study 1.2b notes)

positive, negative, increasing, decreasing

14
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GRAPH OF F descriptors (study 1.2b notes)

increasing, decreasing, concave up, concave down