Key Name: ___________________________________________________ Period: ______ Chapter 3 – Part 1 – Review Packet & 3.3 FUNCTIONS & LINEAR FUNCTIONS 3.1–3.2 Determine whether the relation is a function. If the relation is a function, determine whether the function is linear or nonlinear. Circle the words that match your decision. 1. bc itfailsthe 2. • • • • • • Function obtefeoat's • Not a Function • Linear • Nonlinear Is a.amiaat 3. (0, 1) (2, 6) (4, 11) (6, 16) (8, 21) 491M Y 91 5. • • • • • • • • • • 5 4. try • • • • • oaf's Function Not a Function Linear of Nonlinear changeisa Crate 6. E Function Not a Function Linear Nonlinear • • • • • trails linetest 26 25 2.6 2 2.6 21 • • • • • C O isainiiiit.IE Function Not a Function Linear bc theins Nonlinear O isnot rateof not line 32isdifPfairufpduas.tr is 1 2 33 aight change 447 4 4 11 7. Function blonox's repeat Not a Function Linear Nonlinear fitting craittitIIInge is vertical Tiatsisaight IEantengotisnot It'sIf test Function line Not a Function Linear Nonlinear blcnox's Function 8. (–8, 7) (–9, 7) (–10, 7) repeat Not a Function s Linear of chancgenifaant Nonlinear additive C Crate rateofchange is o Fo Xy j9 y 8 aaffdnits.tv oaf's • Function • Not a Function • Linear • Nonlinear frateofchangeisaconstan • additivecrate I Circle whether the graph is discrete or continuous. Then state the domain and range of thechaff relation. 9. 10. • Discrete • Continuous Off.int are connected • Discrete • Continuous Oftinthseare connected R 31 14 Domain: _____________ Seyss Range: ______________ I Domain: _____________ Range: ______________ y q.to 11. cthegraphis • Discrete individualdots • Continuous 12. • Discrete • Continuous C connected XES 3 I 1,3 Domain: _____________ 6 2,0 2,4 Range: ______________ Domain: _____________ 2EyE4 Range: ______________ 13. bcthe pointsare • Discrete nativiasiandists • Continuous 5 14. • Discrete • Continuous iasiandists Domain: _____________ 1,46 Domain: _____________ Range: ______________ 3 Range: ______________ 4,0,3 0,45 4 – FUNCTION NOTATION 3.3 Use the functions listed below to answer the questions. Express answers in function notation. 2 5 f(x) = 7x – 12 15. What is h(–5)? hlx g(x) = − x + 1 16. What is x when k(x) = 5? T X 4 141 3 2 ht51 151 4 53 2 54 17. What is g(–10)? 41 glx 3 gllo IHO 5 g(____) 5 10 = ____ k(____) = ____ 7 x–2 3 18. What is x when f(x) = –1? f1 1 7 12 t 5 71.317.31 3 I k(x) = text 7 3 h(____) 5 = ____ h(x) = –x – 4 1 7 12 121 41 T 7 h X h w w 7 12 X 4 tx tx 4 I 811 8 I f(____) = h(____) 1 121 12 I I f(____) = ____ 19. What is x when f(x) = h(x)? 8 12 12 Use the graph of k(x) to answer the questions. Express answers in function notation. 3 k(____) 5 = ____ 20. What is k(5)? k(x) a 21. What is x when k(x) = –4? 4 k(____) = ____ 6 6 22. What is k(–6)? x i 3 k(____) = ____ y v a v x 23. What is x when k(x) = 5? 6 5 k(____) = ____ y The function f(x) represents the percent of people who got A’s in Mrs. Wood’s math class x O years after 2000. Interpret the meaning of the following: co 24. f(12) = 70 jars test 26. f(8) ≥a 80 Years In 2012,70 ofthepeople in MrsWood'sclassgotA's ness 25. f(5) < f(13) Asmallerpercentageof yexarsyef.rs 2005than in 2013 gotA'sin In2008 atleast80 ofthe y peoplein MrsWood'sclassgotA's equal student ofA'swerereceived tears tears in 2000and2011 27. f(0) = f(11)Thesame NOW GO CHECK AND CORRECT YOUR ANSWERS USING THE WORKED–OUT SOLUTION KEY ONLINE