finalreview

# finalreview - Math 10A Final Exam Review Session Time...

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Math 10A Final Exam Review Outline 2 Sections 1.1: Functions and Change Know the formula for a linear function: y = mx + b , where m is the slope, b is y -int Given two points, know how to compute m . Know how to tell the difference between different lines (look at slopes/ y -int) Know what it means for a graph to be increasing/decreasing -ex. Is f ( x ) = sin( x ) increasing or decreasing on [- p /2, p /2]. Given a function, interpret its meaning -ex. If P ( x ) is the price of x units, what is the meaning of P -1 (200)? Sections 1.2 / 1.4: Exponential Functions / Logarithmic Functions Know the general exponential function: P = P 0 a t , where P 0 is the initial quantity, and a is the factor by which P changes when t increases by 1. Given two points on an exponential curve, find the equation -ex. f (1) = 12, f (3) = 108, find a formula for f ( t ) = Q 0 a t . -ex. The size of a bacteria colony grows exponentially as a function of time. If the size of the bacteria colony doubles every 3 hrs, how long will it take to triple? -ex. The fraction of a lake’s surface covered by algae was initially 0.42 and was halved each year since the passage of anti-pollution laws. How long after the passage of the law was only 0.07 of the lake’s surface covered with algae?
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## This note was uploaded on 04/07/2008 for the course MATH 10A taught by Professor Arnold during the Winter '07 term at UCSD.

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finalreview - Math 10A Final Exam Review Session Time...

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