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Quiz3(2.2) (1)

# Quiz3(2.2) (1) - MA 160 ‘ Name m Quiz 3(Sec 2.2 1(6...

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Unformatted text preview: MA 160 ‘ Name m Quiz 3 (Sec 2.2) 1. (6 pts)The graph of a function f is shown. Circle each correct answer below, then follow up each choice with an explanation. Your explanation must be consistent with your choice; only the explanation earns credit. ~1U-B -B «4 -2 8101214 a. f(0)<0 f(0)=0 f(0) does not exist 4(0)=Z. M2>o b. f '(0)>0 @ f='(0) 0 f'(0) does not exist ﬂamig MLW M017 7C: 0 ﬂW c. f"(0) > 0 f "(0): 0 f "(0) does not exist ﬁW/d» W 56120714»? 70:0 d. f (5) > 0 f (5) = 0 — f (5) does not exist “PU—3:4 41M “/40 e. f'(5)>0 f'(5)<0 f='(5) o I H MWW W 45f 5"- ‘WL f. f"(5)>0 f"(5)<0 f="(5) o % _ M {1(5) plaza/MM 7670/42sz alfﬂ 5— M \$60»)sz W ”74:5” ”W 2. (10 pts)Let g(x) = —3x4 + 2x2 -8 . For this question, work in exact values only. a~ Findg’andg” j'[¥)= ~I’Lst3‘r‘lx 3 "(9 = -Séx‘+ ‘1 b. Determine the critical values of the function 1,4— 3%) —o= ~mx5+4> -‘1x=o or- 3x~t=o o= #13437 ”0 @. 3747': a 4-...1. c. Use the second derivative test to determine concavity at each critical v ue an- us Whether the critical value determines a relative maximum, a relative minimum, or neither. j”II(O)—_-:¢‘Bé(o) +£+= _L.,>o_'7 wnmﬂw ”1-0;“.«lmat7co fW ~36(W +1: ~3at'la)+4:~mﬂ<0} “mm”- =7W+ a" (_1//,/;)=_3G(_ WE)" +‘i- _36(1/3)+4=—/z+'7’<0 w¢z~ ’/3 :7 reJ mx ugh/V? (1. Determine possible points of inﬂection for the ﬁmction g. j ”(54‘)- —-O ’-‘- "36}4‘ 1"} 36):. =‘/' “ 4 7- e. Determine 31:1;le on which the function is concave up and those on which it is concavedown 5L lamJIA/e, ”TIA/MM p73 Maﬁa/Mu aner/L 79 ¢é£.' 73) 673/ ’/3)/(’/3 o9) rein/awﬂwwk : ( 3110,): ’36(~/)"+‘7’= -3é+6’<0=7w7’¢4“¢— _’/’ 7] ’ j”(o)-36Co3+'1=17’>0 =7WW‘" ““7" m( 3’ 3' jg iQU; ‘36 (’3 ”Hr/=- é-f‘/<0 9 W W m 173/ °°) your results in part to determine if your possible points of inﬂection in part E are g. Sketch a graph of the funetion g, labeling the x-coo » T of relative minima, relative maxima, and points of inﬂection. ...
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Quiz3(2.2) (1) - MA 160 ‘ Name m Quiz 3(Sec 2.2 1(6...

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