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APCalculusABAlgebraReviewDay2 Name______________________________________Mrs.Schempp Period_________Date_____________________Showallworkonthispaper.1.Sketchagraphoftheequation𝑦 = 𝑥! − 𝑥andanswerthefollowingquestions:Simplifycompletelywithnonegativeexponents.
2.!!!!
3.!!!! !
!!!!!!
4.ℎ ÷ !!!!
5. 3𝑥 − 2!! + 𝑥 3𝑥 − 2 !!!
6. !!!!"(!!!)!!
7. !!!
!!!− 𝑥
!!
8.Evaluatewithoutacalculator.a. 64
!!=_______ b. 16
!!=_______ c. 27
!!! =_______ d. 32
!!=________
Solvefory’insimplestform.9.𝑥𝑦! + 𝑦 = 1+ 𝑦′ 10.3𝑥!𝑦𝑦! + 2𝑥𝑦! = 2𝑦𝑦′
a.Isthepoint(3,2)onthegraph?Howdoyouknow?b.Isthepoint(2,6)onthegraph?Howdoyouknow?c.Isthefunctionodd,evenorneither?d.Findthexandy–intercepts.
ReviewDay2Page2Findtheindicatedvalues.11.Find𝑓(1)− 𝑓(5)given𝑓 𝑥 = 𝑥 − 3 − 5 12.Find𝑓(𝑥 + 2)− 𝑓(2)given𝑓 𝑥 = 𝑥! − 3𝑥 + 413.Find𝑓(𝑥 + ℎ)given𝑓 𝑥 = 𝑥! − 1 14.Find! !!! !!(!)
!for𝑓 𝑥 = 𝑥! − 3
15.Given𝑓 𝑥 = 𝑥 − 3and𝑔 𝑥 = 𝑥,completethefollowing.a.f(g(x)) b.g(f(x)) c.f(f(f(x))) d.f(g(f(7)))16.Solveforx.a.ln 𝑒! = 𝑥 b.ln 𝑒! = 4 c.ln 𝑥 + ln 𝑥 = 0d.ln 1− ln 𝑒 = 𝑥 e.ln 6+ ln 𝑥 − ln 2 = 3 d.ln 𝑥 + 5 = ln 𝑥 − 1 − ln 𝑥 + 1 17.Expressyintermsofx.
a.ln𝑦 = 𝑥 + 2 b.ln𝑦 = 4 ln 𝑥 + 3 c.𝑥 = ln !!!
!!
18.Condensetheexpression:2 ln 𝑥 − 3 + ln 𝑥 + 2 − 6𝑙𝑛𝑥
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