Exam1_Solutions

# Exam1_Solutions - M 305G Exam 1 February 8 2008 Name 1 Let...

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Unformatted text preview: M 305G Exam 1 February 8, 2008 Name: 1. Let f(:c) : ﬂ, and g(:n) = —\/x +1+2. (a) (6 points) What are the three transformations that turn into 9(20)? Qeg;\-e,c,¥ 0W 7<~ oqcis) SVﬁS-k LE FT \ouk 3., 3mm 0? is? 2 (b) (6 points) Draw the graph of y = Make sure you label at least 3 points on the graph. (C) (6 points) Find the domain, D9, and range, R9, of 35 not 13mm 43 K31 W (4492,] <2 gelﬁ) géZ—g Page 1 of 6 M 305G Exam 1 February 8, 2008 2‘ Let L be the line that is the graph of the equation 31: + 7y 2 14. (a) (7 points) Find the equation for the line parallel to L through the point (7,1). Write . your answer in Slope—Intercept Form. g Yt7g‘ “l => 1713 —.—. wax 44% L, 2:1 "Ein—Q. (b) (7 points) Find the equation for the line perpendicular to L through the point (6,—2) Write your answer in Slope-Intercept Form. Page 2 of 6 M 305G 3. Exam 1 (a) (6 points) Let f(:c) = m2 — 3:. Is f even, odd, or neither? Malian ' (b) (6 points) Let 9(27) : Is 9 even, odd, or neither? 7. L~2<>2+ \ X 4" ‘ — -: v“ _" ~ 3 r (_ 203 X (c) (6 points) What is the distance from (—1,g(—1)) to (2, f(2))? February 8, 2008 v v (~Wz+l_ 1+! ‘3‘” :=—Z 4(c—u—z>,(z.,o)_ 1. Page 3 of 6 Exam 1 February 8, 2008 M 305G x—4 4. Let = \$2445. (a) (6 points) What is Df? X’L—x ~é =0 (x-35Xxki)=c X33) Dgt§><ék\ WEB) Mi? /F\— (b) (6 points) What are the CE and y intercepts of the graph of y 2 ﬂat)? (a Xﬂk‘o GLOW (Jami: z 0“ = :33; §L0~Q '4 '\$ x... b : 4 x—Ho (0)43.) 45 x“4=o )4th (C) '(6 points) If = % What is x? \ __ x—q I E— ” xL—vs _(g =5 XL"2§“é> 22x~g =5> x2_gx +2 1O ’ >\\*— 2>><-_~\ Page 4 of 6 M 305G Exam 1 February 8, 2008 5. Solve for x: (a) (6 points) What is the average rate of Change of f(a:) = \$3 from —1 to 2? —C<—m =L—\)3= ~i £3: 7 (ma—n} 1 1“ £LQ=13=8 A” 1‘90 3 DE} ’2; ,3 AX Q~C—i3 (b) (6 points) Find the equation for the secant line containing (—1,f(-—1)) and (2, f(2)) in Slope-Intercept Form. _,, A (“3% a 5?: 3 ) (“\yCC’B\‘ ("U—b Lg’L’FBT—EQVWW => uéH 2 37w; (________’_/_. Page 5 of 6 M 305G Exam 1 February 8, 2008 6. I’ve drawn on the board the graph of the equation y = and labeled ﬁve points. Use that picture to draw the following graphs: (a) (5 points) 1} = f(23:) (b) (C) (d) (5 points) y = 3f(;r) (5 points) 1/ = f(-11) (5 points) y = —f(x) — 2 ...
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## This note was uploaded on 04/16/2008 for the course M 305G taught by Professor Léger during the Spring '08 term at University of Texas.

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Exam1_Solutions - M 305G Exam 1 February 8 2008 Name 1 Let...

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