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@ Precalculus Practice Exam — Absolute Value, Square Root, Greatest Integer Functions & Transformations Instructions: Show all work and sketch graphs where appropriate. Part | — Absolute Value Functions 4. Solve the equation [2x-7I=11.. x - 72> (A ayv-7= Ml Oe = 1 axe “oQ Mee, 2. Solve the inequality |x+3|<5. ft3ec KEZ2e-$ Pe xed X) 4a af 4. Find the x-intercepts of y=|x—1|-3. d= le- -\-3 K-L=3 x-le3 3olx-l x=H 2-2 veclealshedh C4 2) >) 5. Describe the transformations from y=|x| to yee +8. , FY ost inverhed 26 Part Il — Square Root Functions 6. Find the domain of f(x)=V(x-6). TS X-& 20 X24 ® [lee 7. Graph y=\(x+2)-4 and identify the pee point. <2 WW (-2,-4) 8. Solve V(xt1)=5. x +1=95 xa et! -_ 9. Describe the transformations from y=Vx to y= =W(x-4)+2. Yr of 10. Find the domain and range of pies 16. Ifo als a z 2 raver aol a{4se R bea,e Part Ill — Greatest Integer Function 0 Oy #) J 14. Evaluate [3.7], [-2.1], and [5]. \x | = gables integer < “WLS LSS 3 -°3~«8 ae oo 12. Graph y=[x], where [x] represents the greatest integer function. 43. Find y=[2.8-x] when x=1.3. LAd-l.3l = Luss = | at 14. Solve [x]=4. ysx<5 lM. 2 7 the Uror wecomes 4 o—4 rie 415. A parking garage charges by the hour using C(h)=5[h]+2. Find the cost for parking 3.6 hours. Saal+o & 9D 2= BIT Part IV — Arithmetic Combinations of Functions 16. Let f(x)=x?+1 and g(x)=2x-3. Find (f+g)(x). x? FOL a z - 47. Find (fg)(x) for f(x=x-2 and g(xj=xt5. (v-VLe4 sve + 3x 'o niet o = EBD xo w/ heh el @ Xe { 49. Find the domain of (f/g)(x) if f(xJ=Vx and g(x)=x-4. AX XEX4 XZ 20 x4 o [0 DY A) Part V — Graph Transformations es aoe 4 2 18. Find (f/g)(x) for f(x)=x?-1 and g(x)=x-1. 20. Describe the transformations from y=x’ to he t 4 73 21. Describe the transformations from y=Vx to y=-V(x+5)-2. BaDrnetd oY 22. State whether y=(1/3)|x| is (comoressiony: stretch. 23. Describe the transformations from y=[x] to y=[x-2]+4. bt ay ut x 24. Graph y=-|x|+3 and identify reflections and shifts. =| : 3 ‘vt 3 ya el nee v-avig, Part VI — Applications 
