Vocab Pc#1

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Pre-Calculus

AP Precalculus

Unit 1: Polynomial and Rational Functions

Formulas

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A² + B² = ?

=( a+b) (a - b)

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a² + b² is …..

Prime

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a² +2ab+ b² =

(a+b)²

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a² - 2ab+ b² =

(a-b)²

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a³+ b³ =

( a + b) (a² - ab + b²

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a³- b³ =

( a - b) (a² + ab + b²)

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Domain

Input (x)

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Range

Output (y)

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Increasing if a < b

f(a) < f(b)

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Decreasing if a < b

f(a) > f(b)

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Concave Up:

Rate of Change is Increasing

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Concave Down

Rate of Change is Decreasing

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Average Rate of Change on [a, b] AND SLOPE OF A SECANT LINE

Average Rate of Change = (f(b) - f(a)) / (b - a)