functions exercise set 2 - weebly

FunctionsExerciseSet2

1. Function𝑓givesthetemperature,indegreesCelsius,𝑡hoursaftermidnight.

Choosetheequationthatrepresentsthestatement:“At1:30p.m.,thetemperaturewas20degreesCelsius.”

a. 𝑓(1: 30) = 20

b. 𝑓(1.5) = 20

c. 𝑓(13: 30) = 20

d. 𝑓(13.5) = 20

2. Deanfilleduphisbathtub,tookabath,andthendrainedthetub.Thefunction𝐵givesthedepthofthewater,ininches,𝑡minutesafterTylerbegantofillthebathtub.

Explainthemeaningofeachstatementinthissituation.

a. 𝐵(0) = 0

b. 𝐵(1) < 𝐵(7)

c. 𝐵(9) = 11

d. 𝐵(10) = 𝐵(22)

e. 𝐵(20) > 𝐵(40)

3. Function𝑓givesthetemperature,indegreesCelsius,𝑡hoursaftermidnight.

Usefunctionnotationtowriteanequationorexpressionforeachstatement.

a. Thetemperatureat12p.m.

b. Thetemperaturewasthesameat9a.m.andat4p.m.

c. Itwaswarmerat9a.m.thanat6a.m.

d. Sometimeaftermidnight,thetemperaturewas24degreesCelsius.

4. Circleallpointsthatareonthegraphof𝑓ifweknowthat𝑓(2) = -4and𝑓(5) = 3.4.

a. (-4,2)

b. (2,-4)

c. (3.4,5)

d. (5,3.4)

e. (2,5)

5. Writethreestatementsthataretrueaboutthissituation.Usefunctionnotation.

Function𝑓givesthedistanceofadogfromapost,infeet,asafunctionoftime,𝑡,inseconds,sinceitsownerleft.

Usethe=signinatleastonestatementandthe<signinanotherstatement.

1.

2.

3.