MATH 111 F2013 Practice Test 1A First, Last Name (prin|SHOWALL WORKNO CREDIT WILL BE GTVEN FOR TIIE AI\ISWERS WITHOUT WORK4 points eachl. Express the inequality rninterval notation and graph the corresponding interval:- 8 <x<22. Graphthe set on a number line and express itrninterval notation.(-o,5)O[1, o)In problems 3 and 4 simpliff each expression and eliminate any negative exponent, ifnecessary:l. (-3x-2y3)2,(#)'#i1apexpression and express the answer using rational exponent.6. Factor the expression completely.n* *3y2T.Simpliffr#8. Perform the operations and simplifr:4-lx-39. Perform the operations and simpliff:x'-2x x*2+-155ro. solve for x: L -4 =t53I l. Solve the equation for r: Y : tn3h12. Solve for x:3*- 4x:413. Find the domain of the function:f (x)-^llr-tS14. The piecewise function is defined as follows:[-x if x <ls@) - lz* ' ,f .r :1Findg(-8),g(1), g(5)15. In 2002therc were 84 millions of Internet users in the US and this number increasedby 2l million users per year since then.a) Find a function (x) that models the number of Internet users in the US x years after2002.b) Determine the number of Internet users in 2008.16. Comthe table andthe firnction. Mark the scale and the ues.17. The graph of a function is given below.a) Determine the interval(s) on which the function is increasing.b) Find the domain from the gaph.c) Find the net change in the function from x = -2 to x : 0.18. Find the local maxima values of the function below and the values of x where theyoccur.MATHlllFlS Test1ftSHOW ALL WORKNO CREDIT WILL BE GIVEN FOR THE ANSWERS WITHOUT WORK4 points each1. Express the inequality in interval notation and graph the corresponding interval:-8Sx<2 LrLfuba!_ no.l-+h'en : t_ g, L)-8 zrwh: < rytrtrtttnrnra@ >2. Graphthe set on a number line and express it in interval notation.'(-m,5){^l[1, oo) gfa.f h , ,inle-rra(, r*{aliut, (-; ,5) O [, ,*) = [,,5)3 Simqlify each expression and eliminate any negative exponent, if necessafr(-3*-'yt)'(s)"(-"l"6Xr)'= q x'yt = 3t' xU( t^z \3^l#^) =x2 -6x+9/. SlmDlltvr J x'-9= -!t -fl=i8a'b5.symplify the expression and express the answer using rational exnonent.b*te) (^tt;) = s.a4 . + ae = Jo &t ;1 = zo= ZoaA--6. Factor the expression completely.t2x" -3Y' = 3 (4 r"-J) = j ( z* - D(zx +Y)tLTTA-'A =ff)'@tft(t9uz'Fot-'/'== 2r?3bI9. Perform the operations and simplify:t:+**=2 = \@, -s.ti5 f 'p";lo.sorverorx: ?-?=, t5,e ,;) =()tf'-ry lt,rx - t,, 3/ t''5 T =t)?x- lox = lf-xx --,:/L11. Solve the lquation for r: V: ,rr3h J-t1"(#)t, r =ffi[:1b12. Solve for x: 3X' - I f3x2 -4x :4v- q !vt6+49t\6'/ =otl ! [6'l68. Perform the operations and simpliff:+-t!@alax-3 Y-3 x-3u (Y4) ^ rx^ 72 4x-tsK-3; ct=3rA=-V/C=-V.?rq6i Xn'2,'X"X-L2'f=2tu-86='#=.L3^^23-gLl )/7rl3x- t5 7t o3XVtS1{.The piecewise function is defined as follows:{-r if x<1g(x) = 1^l2x if x>lFind g(-8), g(1), g(5)L!-8,\ = -4[ -8) = 8,, *(t)= 2"1 =J13. Find the domain of the function:f (x)=#t -15XTrfryFv/, f @4'f P2oo8lool = {1d In 2002therc were 84 millions of Internet users in the US and this number increasedby 2l million users per year since then.a) Find a function f(x) that models the number of Internet users in the US x years after2002.f b =gl +&/'lYb) Determine the number of Internet users in 2008.f(zoot) = 8'/ t Al '6 = ltc m(n. (lsusv^ / ('n 2ffi8'A-O5. Complete the table and sraph the unction t(x) : lx+21. Mark the scale andthe axx_L+-voIf(x)? I n4z3*-.117. The graph of a function is given below.a) Determine the interval(s) on which the function is increasing.(o' r)b) Find the domain from the graph.[-z' 2]c) Find the net change in the function from x = -2to x: 0.*b4=e , fP)'-218. Find the local maxima values of the function below and the values of x where theyoccur.ru-t cAan7€ = t'b) -ft4 >f,=- 2, f('z) = 3x= t ) f(,)= 2'iIi,1irlI +.tli . i