CK12 - Trigonometry

Trigonometry ...

CK-12 Foundation is a non-profit organization with a mission to reduce the cost of textbook materials for the K-12 market both i ...

Authors MaraLanders,andBrendaMeery. Supportedby CK-12 Foundation iii ...

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Contents Trigonometryand RightAngles........................................................................................... ...

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1. Trigonometryand Right Angles BasicFunctions Learningobjectives A studentwill be able to: Determineif a relationis a function ...

the car’s speedand how efficientlyit can use one gallonof gasoline.The first exampleis differentfrom the secondbecauseit represe ...

2 and with -2. Similarly, 9 is pairedwith 3 and with -3. Thereforethe relationis not a function.If we look at the graphabove,we ...

Example2:Statethe domainof eachfunction: c. (2,4),(3,9),(5,11) b. a.y=x 2 Solution: a.y=x^2 The domainof this functionis the set ...

Somefunctionshavesuddenjumps.Considerthe “rounding”functionthat takesa numberand roundsit to the nearestwholenumber(roundingup i ...

Family Parent(s) Key aspects Example The graphof a linear functionis a straight line, which is often identifiedin termsof its sl ...

Exponentialfunctions havea variableas an exponent.The graph has a horizontal asymptote. As x approaches , the function valuesapp ...

For example,a rationalfunctionis usedto modelinversevariationbetweentwo variables.Inversevariation meansthat the productof two v ...

May 50.2oF 66.7oF Jun 59.4oF 76.6oF 82. o 65.5 F o Jul F Aug 64.5oF 80.1oF Sept 56.8oF 72.5oF Oct 46.4oF 61.8oF Nov 37.9oF 51.8o ...

end of this lesson,but now we will look at the graphsof functions. Graphingfunctionsand technologicaltools Whilethereare techniq ...

a. To evaluatethe function,you can “trace”on the graph.Pressthe button.You shouldsee the equationat the top of the screen,and th ...

Solution:The plot of land will look like the picturebelow: a. The equation:The areaof the rectangularplot is the productof its l ...

c. The maximumpossiblearea:usingthe processfrom example6, you shouldfind that (50, 2500)is the maximumpoint.This tells us that w ...

As was notedabove,this kind of data needsto be modeledwith a functionthat is periodic.In particular, this kind of data is oftenm ...