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Lesson 11, Section 2.2 (Part 2)I Function NotationFunctions are usually named by letters (upper or lower case).)(xfis called function notation, read 'f of x' and represents the function f with domain x.It means the same thing as y.*Note: f(x) does not mean f times x!!!x rule of correspondence y or )(xf1.)}2,2((),3,1(),2,3{(: fa) Find:)2()1()3(fffb) Find the value of x such that...2)(3)(2)(xfxfxf2. f a) Find )3()2()8(fffb) Find the value of x such that...6)(3)(3)(xfxfxf*Note: f(x) does not mean f times x!!!(-8, -6)(0,-3)(3,4)(2,3)(-5, -3)3. g: )2,1(),1,3(,)3,21),2,0(a) Find: )0()1()3(fffb) Find the value of x such that....2)(3)(xfxf4. ha) Find: )0()2(hhb) Find x such that....2)(0)(xfxf5.423)(  ttra) Find )8()2()2(rfrb) Find t such that ( ) 8( ) 2( ) 2f tf tf t===-6) a) Find g (3) for 12)(  xxgb) Find f (-1) for tttf 25)(c) Find h (4) for h (x) = 2d) Find f (a) for 16)(  xxfe) Find 32)(for )1(  xxgagf) Find xxxhmh 45)(for )3(2g) Find 322)(for )0(xxxffh) Find 322)(for )2(xxxfxfFunction ModelsA Surface area of a sphere is given by 4)( rA 2rFind the surface area of the sphere when radius is 5 cm.Give an exact value and an approximation using 3.14 for pi.B Celsius temperature is given by )32(95)(  FFC.a) Find Celsius temperature if Fahrenheit temperature is 50 degrees.b) Find Celsius temperature if Fahrenheit temperature is -4 degrees.The following graph shows the percentage of people who responded 'yes' to the question, 'If your party nominated a well-qualified woman candidate for president, would you vote for that person?'a) Use the graph to approximate the percentage of people who said 'yes' for 1960? 1980?b) If the trend continues, how many would you approximate would say 'yes' for 2008?B Compact fluorescent lightbulbs (CFL) can be used to most places that conventional incandescent bulbs are, but use a fraction of the electricity. This table lists the CFL wattage and the incandescent wattage required to create the same amount of light.CFL wattage Incandescent equivalent7 2520 7530 120Use the data to draw a graph and estimate the wattage of an incandescent bulb that reates light equivalent to a 15-watt CFL bulb? 35-watt CFL bulb?Incandescent equivalent1050100150CFL Wattage 5 10 15 20 25 30 35


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Purdue MA 11100 - Lecture notes

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