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Math 106 Exam 2 Study Guide

by: Anna Joy

Math 106 Exam 2 Study Guide Math 106

Marketplace > Washington State University > Math 106 > Math 106 Exam 2 Study Guide
Anna Joy
GPA 3.34
College Algerbra
Lydia Miller

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Chapters 1.7-2.3 exam
College Algerbra
Lydia Miller
Study Guide
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This 2 page Study Guide was uploaded by Anna Joy on Saturday March 7, 2015. The Study Guide belongs to Math 106 at Washington State University taught by Lydia Miller in Spring2015. Since its upload, it has received 176 views.


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Date Created: 03/07/15
Math 106 Exam 2 Study Guide 17 Power Function A function of the form fxx n where n is a positive integer The domain of a power function is the set of all real numbers The range is the set of real numbers when n is odd and 000 when n is even Root function a function of the form fxxA1n where n is an integer greater than 1 The domain of a function is the set of all real numbers when n is odd and 000 when n is even The range is identical to domain Floor function also called the greatest integer function gives the greatest integer less than or equal to x Ceiling function also called the least integer function gives the lease integer greater than or equal to x nearest integer function gives the nearest integer to x When x is exactly between two integers the nearest integer is defined to be the nearest even integer 21 End behavior of polynomials If n is odd ends will go in opposite directions angtO the graph is down on left and up on right anltO the graph is up on left and down on right If n is even angtO the graph is up on both sides anltO the graph is down on both sides 22 Real roots The real roots of a function f are the real number of solutions to the equation fxO Root form of a polynomial The root form of a polynomial function f with n roots is fx axr1 xr2xrn where the leading coefficient a 0 The number of times a root appears in the list of roots is called the multiplicity of the root 23 The complex conjugate abiabi aquot2abiabi 2a 2b 2 abi the complex conjugate is zabi abi the complex conjugate is zabi The fundamental theorem of algebra If fx 03 a polynomial degree n where n is greater than or equal to 1 then the equation fxO has at least of complex root Formulas to know Quadratic formula r i J0 4a 1 Ll


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