AP Precalculus Terms & Formulas Guide

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Function

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14 Terms

1

Function

A mathematical relation that maps input values to output values, where the input values are the domain and the output values are the range.

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2

Inflection Point

A point on a curve where the concavity changes from up to down or down to up.

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3

x-intercepts

The solutions of f(x)=0, represented as (x,0) on the graph of f.

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4

y-intercepts

The value of f at x=0, represented as (0,y) on the graph of f.

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5

Average Rate of Change (AROC)

The slope between two points on a graph of f(x).

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6

Instantaneous Rate of Change

The rate of change at a specific point using small intervals.

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7

Polynomial Function

A function that is a monomial or a sum of monomials.

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8

Turning Point

A point where a function changes direction.

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9

End Behavior

The direction of a function's graph as you move away from the origin.

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10

Relative/Local Extrema

Points on a function's graph where it changes from increasing to decreasing or vice versa.

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11

Absolute/Global Extrema

The highest or lowest y-values on a function's graph.

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12

Odd Function

A function that satisfies f(-x)=-f(x) and passes through the origin.

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13

Even Function

A function that satisfies f(-x)=f(x) and is symmetric about the y-axis.

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14

Complex Conjugate

If (a+bi) is a factor, then (a-bi) is also a factor.

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