per2.Expert Group Review - chapter2

per2.Expert Group Review - chapter2 - Chapter 2 Re vie w...

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Chapter 2 Review By: Elisha Kumari & Sukhmeet Nagra
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2.1 Average Rate of Change ( AROC ): f(x 2 ) – f(x 1 ) x 2 – x 1 Secant Line A line that passes through two points on the graph of a relation Graphically – Represents the slope of a Secant line
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Instantaneous Rate of Change ( IROC ): f(a+h) – f(a) (a+h) – a Tangent Line A line that passes through one point on the graph of a relation Graphically – Represents the slope of a Tangent line
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Preceding Interval (Left of Point) a – h ≤ x ≤ a where h is a small positive value, used to determine AROC Example: h = 0.1, a = 2 2 – 0.1 = 1.9
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Following Interval (Right of Point) a ≤ x ≤ a + h where h is a small positive value, used to determine AROC Example: h = 0.1, a = 2 2 + 0.1 = 2.1 2.2 & 2.3
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Different Quotient f(a+h) – f(a) (a+h) – a Step 1: Select points closer and closer to the point P Step 2: Calculate the slope of each secant Step 3: The slopes of the secant will approach a value that’s the slope of the tangent 2.2 & 2.3
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This note was uploaded on 01/14/2012 for the course MAT 107 taught by Professor Sda during the Spring '11 term at Beacon FL.

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per2.Expert Group Review - chapter2 - Chapter 2 Re vie w...

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