151 Exam I ans 08

151 Exam I ans 08 - 3,Jt EXAM I PartI Math151 Tighe...

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3,Jt. Math 151 EXAM I PartI Mrs. Borury Tighe 60points 0.1-1.6 NAME /+h-,q,.,{4^) Mon2125/08 1 . Find the inverse, / ' (x) , of the given function. State the domain and range for the andjtlqverse. f (x) = 1 - e--' ax) ' A(f-P -l function and its q k'r x-, \- e .!^(-(*n) + I I { 1' -L 2. Sketch the graphof each ofthe following and find the intercepts, for each. a) f(x)=-x'-2x+2 1'r.zp ta ) +z +t n) f(x)=-2cos(x-%) domain and range D'.Gn,-) g'L-ut{ \ X-L*r, €oirt lL/ o) \-tJ1 ( o,-C4 ! I (-*r-) Q.', (-*,5\ k -L-l ' k , ) u fl) Vrl .!rr3,,\ : (0,>) . | _
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3. Evaluate to find the exact value: b) cos-'1-Y): "inlcos-'{3/r)=tD c)cos(tan-,xy:G3) e) tan(sin-r ,[email protected] a) n I 4. Solve for x. a) ln(x + 1) =2 {A *{-r( Ury' b) e2x+t - 2 ,$r*Jrb '5r1*) c) tanzx-3=0 *o^^z,'X'6 5. State and use the Intermediate Value Theorem to show that the function U L'rl.-'- .) -- fi/u+-nk t,^, ' h f (x) = 2xt + x' - 5 has an x-intercept on the intewal [1, 2] . r r, I '' r ,r***'--*a h !o,b] {*- 4f%* t TT .,il',-*.-. " o- c tu' t^,:'i* t"J t"1 ll 4.['5 7.,101 vr-.^, " a'._ tu'G,^b1 *lJ -X"'"^ ? '' r /''\ ' {f t4' clL"s-cJ =o W -6tt)'d"\ dt'D ',, -o b'"'^, 'L^ c- ,* L, , ,f u^"'.--4-, Yo q4-' nadr ^r. ! n \, ,,.nr ,^".,n{ ")(c), O q. {a*-' i' a-^' Y -6d'^'f U
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6. Find the following lirnits, if theyexist: b) lir.t (7 + h)' -7- ' h"'0 h t \ E ? h - t -" '--'--'t-t
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