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# Class Note for MATH 1300 at UH

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This 6 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 17 views.

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Date Created: 02/06/15

Exercise Set 26 An Introduction to Functions For each of the examples below determine whether the mapping makes sense within the context of the given situation and then state whether or not the mapping represents a function 1 Erik conducts a science experiment and maps the temperature outside his kitchen Window at various times during the morning 57 gt 62 65 Time Temp 39F 2 Dr Kim counts the number of people in attendance at various times during his lecture this afternoon 85 87 Time of People State whether or not each of the following mappings represents a function A B 4 2 A B 5 A B 6 0 8 39 4 A B Math 1300 Fundamentals QfMalheman39cs The University of Houston Express each of the following rules in function notation For example Subtract 3 then square would be written as fx x 3z 7 a Divide by 7 then add 4 b Add 4 then divide by 7 8 a Multiply by 2 then square b Square then multiply by 2 9 a Take the square root then subtract 6 squared b Take the square root subtract 6 then square 10 a Add 4 square then subtract 2 b Subtract 2 square then add 4 Complete the table for each of the following functions 11 fx x3 75 x fx 12 gx x7 42 1 x fx Find the domain of each of the following functions Write the domain rst as an inequality and then express it in interval notation 13 fx 14 fx 7 Chapter2 Points Lines and Functions Exercise Set 26 An Introduction to Functions For each of the examples below determine whether the mapping makes sense within the context of the given situation and then state whether or not the mapping represents a function 1 Erik conducts a science experiment and maps the temperature outside his kitchen Window at various times during the morning 57 gt 62 65 Time Temp 39F 2 Dr Kim counts the number of people in attendance at various times during his lecture this afternoon 85 87 Time of People State whether or not each of the following mappings represents a function A B 4 2 A B 5 A B 6 0 8 39 4 A B Math 1300 Fundamentals QfMalheman39cs The University of Houston Express each of the following rules in function notation For example Subtract 3 then square would be written as fx x 3z 7 a Divide by 7 then add 4 b Add 4 then divide by 7 8 a Multiply by 2 then square b Square then multiply by 2 9 a Take the square root then subtract 6 squared b Take the square root subtract 6 then square 10 a Add 4 square then subtract 2 b Subtract 2 square then add 4 Complete the table for each of the following functions 11 fx x3 75 x fx 12 gx x7 42 1 x fx Find the domain of each of the following functions Write the domain rst as an inequality and then express it in interval notation 13 fx 14 fx 7 Chapter2 Points Lines and Functions Exercise Set 26 An Introduction to Functions 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 x73 fx 77 x8 fx fx x76 x4 x4 hxx76 78 fl215 2 h 0 3174 4x71 4x79 gx fxc272x724 fx 77 2x gx 3x 5 hx x2 716 ft J7 ho 35 fx J3 goo M f x VS Math 1300 Fundamentals QfMalheman39cs The University afHoustan 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 gx W hx W W J37 gx H fx m fx 8V7572x fx 2J7x4 Hxlx72 x76 G00 37x ft gx32x79 732 ha 15 732x79 fx 4x77 3025 3045 gxl 3x75 gx 15 2x7 fxx gltxgtx72 Hx2x76 fx3x5 Chapter2 Points Lines and Functions Exercise Set 26 An Introduction to Functions 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 x73 fx 77 x8 fx fx x76 x4 x4 hxx76 78 fl215 2 h 0 3174 4x71 4x79 gx fxc272x724 fx 77 2x gx 3x 5 hx x2 716 ft J7 ho 35 fx J3 goo M f x VS Math 1300 Fundamentals QfMalheman39cs The University afHoustan 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 gx W hx W W J37 gx H fx m fx 8V7572x fx 2J7x4 Hxlx72 x76 G00 37x ft gx32x79 732 ha 15 732x79 fx 4x77 3025 3045 gxl 3x75 gx 15 2x7 fxx gltxgtx72 Hx2x76 fx3x5 Chapter2 Points Lines and Functions Exercise Set 26 An Introduction to Functions 72 62 If gxx77 21 Find g0 b Find x when gx 0 56 fx le c Find g2 d Find x when gx 2 e Find 73 5739 fx xi Find giElhe gx 73 58 fx x9 63 If hxmfind H a W b has Evaluate the following c he 59 If fx 5x74 64 If hx 5 2 find 21 Find f 3 2 M7 b Find x when fx 3 b M25 c Find fi c he d Find x when fx 7 e Find fO 65 If fx J 73 find 1 Find x when f x 0 a f 16 h f 12 60 If fx3x1 c fg 21 Find f 75 b Findxwhen fx 75 66 If fx J73 find c Find f a f 16 d Find x when f x g h f 12 e Find fO c fg i Findx when fx 0 67 If gxx275x6 61 If hxx73 21 Find g3 21 Find h1 b Find g74 b Findxwhen hx 1 c Find 7 c Find M72 d Find x when hx 72 e Find h7 68 If hr42 72115 i Findx when hx 7 2 Find MO b Find h6 c Find h75 d Find 7 d Find g 0 Math 1300 Fundamentals qualheman39cs The University of Houston Chapter2 Points Lines and Functions Exercise Set 26 An Introduction to Functions 69 If fx2quot x73 21 Find f77 b Find f0 c Find f 5 d Find f3 e Find f72 572x x4 21 Find g2 b Find g74 c Find d Find g73 e Find g0 70 If gx Math 1300 Fundamentals qulatzema cs The University ofHaustan Chapter 2 Points Lines and Functions

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