Graphing - Appendix II - SLC Home Page

E:\Courses\Math Tutorials\T203-0x) Graphing - Appendix II.doc Thursday, August 13, 1998Graphing - Appendix IITrigonometric, Exponential andLogarithmic GraphsOne period of y = sin 1x6 , 0≤ x≤2π Multiple periods of y = sin 1 x 6π6π3π22 π35 π6π7 π64 π 5 π3 33 π211π62 π− 2 π− 3 π2− π− π2π2π3 π22 π5 π 7 π223π4 πOne period of y = cos 1x6 , 0≤ x≤2π Multiple periods of y = cos 1 x 6π6π3π22 π 4 π335 π 7 π6 63 π2π 5 π311π62 π− 2 π− 3 π2− π− π2π2π3 π22 π3π5 π 7 π224 πOne period of y = tan 1x6 , 0≤ x≤2π Multiple periods of y = tan 1 x 6π6π4π3π2− 2 π− 3 π2− π− π2π2π3 π22 π3π5 π 7 π224 πOne period of y = cot 1x6 , 0≤ x≤2π Multiple periods of y = cot 1 x 6π6π4π3π22 π33 π45 π6π− 2 π− 32π − π − ππ π 3 π2 π5 π 3π7 π4 π22222

E:\Courses\Math Tutorials\T203-0x) Graphing - Appendix II.doc Thursday, August 13, 1998One period of y = sec 1x6 , 0≤ x≤2π Multiple periods of y = sec 1 x 6π23 π2π32 π3π4 π35 π32 π− 2 π− 32π − π − ππ π 3 π 5 π 7 π2 π 3π 4 π22222One period of y = csc 1x6 , 0≤ x≤2π Multiple periods of y = csc 1 x 6π6π25 π6π7 π63 π211π62 π− 2 π− 32− π2π − ππ π5 π2 π 3π 4 π23 π227 π2x12 2 7Graphs of Exponential functionsx12 3 75 x3 x2 xGraphs of logarithmic functions10 x log bxlog 21x6log 10lnlog 31 x 6x1 6x1 6Graphs of exponential and logarithmic functionbx( b > 1 )Graphs of exponential and logarithmic functionbx( 0 < b < 1)log b1 x 61 6