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