MA180 Exam II Review Solutions Fall 2011

MA180 Exam II Review Solutions Fall 2011 - MA 180 Review...

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Unformatted text preview: MA 180 Review for Exam II Fall 20ll 2.5 - 4.1 1. Sketch the graph of f on graph paper. Show your table of 4 - 6 points. Find the domain and range of /. Find the intervals on which f is decreasing, increasing or constant. a. f(x) = lxz * gl /el+'&r &{"*6r{'e.**"* b. f(x)=1-\FT Explain how the gaph of the function compares to the graph of y:/(x). For example, forthe equatiouy :2flx + 3), the Saph of/is shifted 3 units to the left and stretched vertically by a factor of 2. a. y:.flx-3)+4 5h;(+ ri6n+ 3" ^-p 4, b. y=J(4*6 kQ"4- *6'J ? 6.-y-{> , S/rt+ e/s-,n A c. y=3f(x) 1k'e*cL, fcr.l-icattl ba 6L {"rlcr 4 S. a$ The graph of a function f is shown, together with graphs of three other functions {a), {b}, and {c}. Use properties of symmetry, shifts, and reflecting to find equations for graphs ta), (b), and (c) in terms of /. e\ 4tx+4) -F r b) - /,( *\ u- / c) -AG*") + | ' u\- c hecl( : I = At-l 4 (t*rJ'- t 0v o-\ E*q 2 (xuq '7)'- l r ({ +"r)- * t-/- {ru"} Y | = {* + a}'- r + I u = {xor}' h Js.rkr is al Q l,a) 2. 3.-r)-&-gv- C- t'ec'[':!' Ary**'-*"* (r<,t'wt'<-{6.-} 4, Carefully sketch the graph ofl Show a table of points used. ( x-3 x<-Z f(x)=l-r, -z<x1L (-x*4 xlL s b { z ?t+ 5. For the function f (4) = \xz + ZAx * L7, Write the equation in standard form and state the vertex of the parabola.-" CJ,o) (-),-f) (-a, Gs,-s\ (-t, (o, (r, (l ,z ) (tt,,o)-'l =---1 Fr,o) Usc oPe'l g.irr--l e L-Y)-r) o)- t) \ I I I I s.tx2+c{**.-l) f(K+)-)- = 3 -**--/ 6. Given J(x): gf + 36x + 36 (a) Use the quadratic formulato find the zeros oU**"* a-. Q, b= 3 to c:31 i X=',33y:g::*!!q)Gg) b) Find the maximum or minimum value of flx).J de1- b/r ' -? N (_o) = c, rwiyt i wt t*tn7y r. 5 (c) Sketch the graph of/on graph papef. le-f t +o sSw al e rr *, 7. Find the standard equation of the parabola shown in the figure. U" e(x* A) I + l< {h,t<) =d3.-}J lr1= d 3: 2* L :t a( x* :)=* b co(o*r)!*3 adq) *3 : qct lt ?*" = ?r- q -*?, '/= ( x -21'- E 8. An object is projected vertically upward from the top of a building with an initial velocity of 7Wftlsec,. Its distance^s(/) in feet above the ground after t seconds is given by the equation s(r): -16t" + lUlt + 110. (a) Find its maximum distance above the ground....
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MA180 Exam II Review Solutions Fall 2011 - MA 180 Review...

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