Catch+the+Wave+2
.pdf
School
Mater Dei Catholic High School**We aren't endorsed by this school
Course
MATH 3
Subject
Mathematics
Date
Jan 15, 2025
Pages
4
Uploaded by CorporalCoyote3077
Main Ideas/QuestionsNotes/ExamplesGraphing Functions *All reciprocal functions have vertical asymptotes. *Reciprocal functions do not have an amplitude.COSECANTcsc( )fxxSECANTsec( )fxxCOTANGENT cot( )fxxGiven f(x) =acsc bx, f(x) =asec bx, orf(x) =acot bx: •The period of cosecant (csc) and secant (sec) functions is __________.•The period of the cotangent (cot) function is _________.Directions: Identify the period, then graph each function. Show the asymptotes on the graph.1. 3csc2( )fxxPeriod: ______________2. 2 sec 4( )fxxPeriod: ______________3. 4sec3( )fxx Period: ______________4. 5csc 22( )fxxPeriod: ______________Name:___________________________________________________Class:_________________________________Date:_________________________________Topic:___________________________________________________© Gina Wilson (All Things Algebra®, LLC), 2018222442222442222442222442Catch the Wave 2BrielJim093020247HYE21161TablM2TFEEdatat.itiiiiitlaA
5. 3 cot 2( )fxxPeriod: ______________6. 4cot3( )fxx Period: ______________Directions: Graph each function and show the asymptotes on each graph.Identify the period, phase shift, vertical shift, and midline of each function.7. csc24( )fxxPeriod: Phase Shift: Vertical Shift: Midline: 8. 82 sec13fxx( )()Period: Phase Shift: Vertical Shift: Midline: 9. 3cot 232( )fxxPeriod: Phase Shift: Vertical Shift: Midline: 222442222442222442222442222442© Gina Wilson (All Things Algebra®, LLC), 2018HAITI2rightiiiy2w.aeqi.noWVIleft1upyetforcotrecommendstartingfromthelefttoright0021373
Name:____________________________________Unit 5: Trigonometric FunctionsDate:__________________________ Per:_______ Homework 12: Graphing Reciprocal FunctionsDirections: Identify the period, thengraph each function. Show the asymptotes on the graph.1.( )sec2f xxPeriod: ______________2. 2( )4 cot3f xxPeriod: ______________3. 74( )csc23f xxPeriod: ______________4. 1( )3 sec2f xxPeriod: ______________5. 4( )2 cot5f xxPeriod: ______________6. 22 csc3fxx ( )Period: ______________** This is a 2-page document! ** 222442222442222442222442© Gina Wilson (All Things Algebra®, LLC), 2018222442222442I352AMIEIXE4TAtÑÉhl
Directions: Graph each function, showing the asymptotes on the graph.Identify the period, phase shift, and vertical shift of each function.7. 3( )sec()12f xxPeriod: Phase Shift: Vertical Shift: Midline: 8. 1( )cot224f xxPeriod: Phase Shift: Vertical Shift: Midline: 9. ( )csc42f xx Period: Phase Shift: Vertical Shift: Midline: 10. 3( )2 sec214f xxPeriod: Phase Shift: Vertical Shift: Midline: © Gina Wilson (All Things Algebra®, LLC), 20182224422224422224422224422TleftTLdown1vWhvgetarightUP2VVy2innn2TleftUP4VVVVy4IleftᵗupIy1