MATH IIl E2OI3SHOW ALL WORKNO CREDIT WILL BE GIVEN FOR THE ANSWERS WITHOUT WORK6 points each1. Express the inequality in interval notation and graph the corresponding interval:a) - 4<x<2b)0Sx <72. Simpli& each expression and eliminate any negative exponent:Practice Test I $a) (-2x)a3.SimpliS the expression and express the answer using rational exponent.QG)(v)4. Factor the expression.+t -g*5.Simptify,#6. Perform the operations and simpliff:u) 2"-1.-r'x+4T.Solveforx: 6 - 5'=ox-3 x+48. Solve the equation for H: A: 1.6H3g.Solveforx: x2-Bx*4:010. Find the domain of the frrnction:a) f(x) :* -4b) ,f(x) =JTx-711. An income tax T is assessed according to the following firnction of income, x, indollars:[o-ir-osx<10,000t-"-T(x\ = 10.08"r-if -10,000 < .r < 20,000I t6oo + 0.15(r - 20,000)- if -x > 20,000La) Find T(5 000), T(12 000), T(25 000)b) If a person pays $25 000 in taxeso what is the income?12. Twin Cities Cable TV Service charges a $35 installation fee and $20 per month forbasic service.Find a function C that models the cost of cable TV for x months. Determine the cost of 9months of cable TV service."(#)'-.2x2 -6x x-3b)- +-' 2x-8 x-4-5!w)=ox ftl6f+2V- 5X+tf =Ol:4q6 (x+Y,x-,the function. Mark the scale and the ar<es.14. The graph of a firnction is given below.a) Determine the intervals on which the function is increasing.b) Determine the intervals on whichthe function is decreasing.c) Find the domain and the range fonn the gaph.d) Find the net change inthe function from x: -2to x:0.15. Find the local maximum and minimum value of the function below and the values ofx where they occur.MATH III'_L{ -2t4, a) (o,r)d) -3ANSWERS TO PRACTICE TEST 1,, ,)(- 'l , L) .--'u ^t -z,af/6x/r b) - #3,' ,r/o€ / u'Q, (zt +ss)(z/-ss)f, x-2-,y-l6, a) ry 6)Yvr ./ 7+V ./Y=-3q Lt4 -- (*")'4 +lYT , q-t6t0, al (-* ,* ) b) ( 3,{, oa ),;' '; ri,uq*, {t'aio D i t76 0mt2. tPS= s5+zox I C(il =32/'f13, G(D=6,4,2)o)A,q7,8,q,b) Lo,z) ? !=b) (-r,Qu(t'3)Q Dona'irt) L-z,zJ ,P*ge" ['z,tJloCA/ tT14'r1,c'/r1-'(/r71 ' Ialrf =C6t12l5' Laca f max ma2 al X=-L a',0/ I a{ {