MATH 111 F2013 Practice Test 1A First Last Name prin SHOWALL WORK NO CREDIT WILL BE GTVEN FOR TIIE AI ISWERS WITHOUT WORK 4 points each l Express the inequality rninterval notation and graph the corresponding interval 8 x 2 2 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 necessary l 3x 2y3 2 and express the answer using rational exponent i1apexpression 6 Factor the expression completely n 3y2 T Simpliffr if 8 Perform the operations and simplifr 4 l x 3 9 Perform the operations and simpliff x 2x x 2 155 x L 4 53 t Solve the equation for r ro solve for I l 12 Solve for x 3 4x 4 Y tn3h 13 Find the domain of the function f x llr tS 14 The piecewise function is defined as s x if x follows l r 1 lz fg 5 Findg 8 g 1 In 2002therc were 84 millions of Internet users in the US and this number increased by 2l million users per year since then 15 a Find a function x that models the number of Internet users in the US x years after 2002 b Determine the number of Internet users in 2008 16 Com the table and the 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 they occur MATHlllFlS Test1ft SHOW ALL WORK NO CREDIT WILL BE GIVEN FOR THE ANSWERS WITHOUT WORK 4 points each 1 Express the inequality in interval notation and graph the corresponding interval 8Sx 2 LrLfuba no l h en t g L z 8 rytrtrtttnrnra rwh 2 Graphthe set on a number line and express it in interval notation m 5 l 1 oo inle rra gfa f h r aliut 5 O 5 3 Simqlify each expression and eliminate any negative exponent if necessafr 3 yt s l 6Xr x yt 3t xU ff t t fl i z Fot ft t9u 8a b 2r 3b I t z 3 l q 5 symplify the expression and express the answer using rational exnonent b te tt TT s a4 ae Jo t 1 zo A A ZoaA 6 Factor the expression completely t2x 3Y SlmDlltv r J 3 4 r J j z D zx Y x2 tL 6x 9 x 9 8 Perform the operations and u t ala x 3 9 simpliff x 3 Y 3 Perform the operations and simplify t 2 i5 lo sorverorx p s t f t5 e lt rx t t T x lox lf x x L ry 5 Y4 r x 7 2 4x ts K 3 X L 2 tf 3 t r ffi 1b t1 t 11 Solve the lquation for 12 Solve for 3x2 4x 4 v t x r V rr3h 3X I f q vt6 49 6 f 2t o ct 3rA V C V tl 6 l rq 6 u 8 6 J L 3 i 6 Xn 2 X 2 3 13 Find the domain of the function 3x t5 f x t 15 XTrf ry 7t o 3XVtS 1 The piecewise function is defined as follows r if l2x if x 1 g x 1 x l Fv f 4 f P Find g 8 g 1 g 5 8 8 L 8 t 2 1 J 4 gLl 7rl 1d In 2002therc were 84 millions of Internet users in the US and this number increased 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 after by 2002 f b gl lY 2oo8lool b Determine the number of Internet users in 2008 f zoot 8 t Al v A O 5 Complete the table and sraph the unction t x x f x L vI n 6 ltc m n lsus n lx 21 Mark the scale and the ax o 4 z I 3 2ffi8 1 17 The graph of a function is given below i i i l 1 i i 1i Irl tl i I 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 b4 e fP 2 ru t cAan7 t b ft4 x 0 18 Find the local maxima values of the function below and the values of x where they occur f 2 f z 3 x t f 2