Name:________________________________________Date:_______________________Unit2Homework4
PartI:Evaluatethefollowingexpressionsgiventhefunctionsbelow.
f(x)=3x+6g(x)=x/2h(x)=-2x+1m(x)=-7x–5
1) f(3)
2) m(7)
3) h(10)
4) g(3)
5) f(y)
6) m(@)
7) h(3)
8) f(19)
9) h(10)
10)
m(3)
11)
m(2.5)
12)
g(14)
13)
f(2)
14)
g(1)
15)
m(-1.5)
PartII:Giventhegraphofthefunctionk(x)below,
Find
1)k(6)
2)k(-3)
3)k(2)
4)k(-6)
5)k(0)
6)k(-3.5)
7)xwhenk(x)=1
8)xwhenk(x)=2
9)xwhenk(x)=-1
PartIII:Anairplanecantravelataspeedof500milesperhour.Theequationthatcanbeused
forthetotaldistancetraveled,d(h),forhhoursisd(h)=500h.
1) Whatdoeshrepresent?
2) Whatdoesd(h)represent?
3) Whichisthedependentvariableandwhy?[doesd(h)relyonh,ordoeshrelyond(h)]?
4) Whatwouldd(3)beaskinginthecontextoftheproblem?
5) Calculated(3).
6) Whatwouldd(14)beaskinginthecontextofthisproblem?
7) Calculated(14).
8) Isthisscenarioafunction?Justifyyourreasoningusingthecontextoftheproblem.
9) Wouldthisrelationbeconsidereddiscreteorcontinuous?[Hint:thinkaboutwhatthe
inputrepresentsinordertoanswerthisquestion.]
10) Whatwouldd(-4)beaskinginthecontextofthisproblem?
11) Reflectonthereasonablenessofquestion#10.
12) Whatwouldareasonabledomainbeforthissituation?