AP Precalculus 1.1 - 1.3 R.O.C. and Graph of Functions
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Flashcards on figuring out whether a function and its rate of change is positive, negative, increasing, or decreasing. Also on whether a function is linear, quadratic, or neither of the two.
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15 Terms
If the rate of change of f is positive, then the graph of f is _____.
increasing
If the rate of change of f is negative, then the graph of f is _____.
decreasing
If the rate of change of f is increasing, then the graph of f is _____.
concave up
If the rate of change of f is decreasing, then the graph of f is _____.
concave down
If the graph of f is increasing, then the rate of change of f is _____.
positive
If the graph of f is decreasing, then the rate of change of f is _____.
negative
If the graph of f is concave up, then the rate of change of f is _____.
increasing
If the graph of f is concave down, then the rate of change of f is _____.
decreasing
If the graph of f is negative, then the graph of f is _____.
below the x-axis
If the graph of f is negative, then the graph of f is _____.
below the x-axis
If the graph of f is above the x-axis, then the graph of f is _____.
positive
If the graph of f is below the x-axis, then the graph of f is _____.
negative
If the rate of change of f stays constant throughout multiple intervals, then the function is _____.
linear
If the rate of change of f increases or decreases at a constant rate throughout multiple intervals, then the function is _____.
quadratic
What makes a function linear, quadradic, or neither?
Constant ROC between multiple intervals = Linear
Constant Increasing/Decreasing ROC between multiple intervals = Quadratic
Non-constant Increasing/Decreasing ROC between multiple intervals = Neither