AP Precalculus Formulas

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9 Terms

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The domain

The set of input values(x) of a function represented by the independent values

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The range

The set of output values(y) of a function represented by the dependent values

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When the graph of f lies above the x-axis…

The function f is positive and the outputs (y-values) are greater than zero

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When the graph of f lies below the x-axis…

The function f is negative and the outputs (y-values) are less than zero

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Increasing Graphical Behavior of a Function

As the input values increase, the outputs values always increase.

<p>As the input values increase, the outputs values always increase.</p>
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Decreasing Graphical Behavior of Functions

As the input values increase, the output values always decrease

<p>As the input values increase, the output values always decrease</p>
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Concave Up

The rate of change (slope) is always increasing

<p>The rate of change (slope) is always increasing</p>
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Concave Down

The rate of change (slope) is decreasing

<p>The rate of change (slope) is decreasing</p>
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Average Rate of Change (AROC)

f(x2) - f(x1)/x2 - x1