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Determine whether the given qnadratic Ú\llction has a minimum value or maximum value. Then find the coordinates of the mínimum or maximum point. 1) f(x) = x2 + 2x-1 A) maximum; (- 1, - 2) C) minimum; (-2, - 1) B) minimum; (-1, - 2) D) maximum; (- 2, - 1) 1) Determine whether the function is a polynomial function. 2) f(x) = 7 - x4 6 2) __ _ A) Yes B)No Find the zeros of the polynomial function. / 3) f(x) = x3 - 10x2 + 25x 3) A) x=0,x=-5 B)x=0,x=5 C)x=l,x=5 D)x = o, x =- 5, x =5 Determine whether the graph shown is the graph of a polynomial function. 4) 4) __ _ y X A) nota polynomial function B) polynomial function Divide using synthetic division. 5) 4x2 -33x + 54 x-6 5) __ _ A) 4x-9 B)-9x-6 C) x- 9 D)-4x+ 9 Use synthetic division and the Remainder Theorem to find the indicated funciion value. 6) f(x) = 2x3 - 7x2 - 5x + 11; f(-3) 6) A) -12 1 B) -91 C) -17 D) 57 Given that --3 is a zero of the polynomial function f(x), find ali !he zeros of the function. 7) f(x) = x3 + 2x2 -9x -18 7) A) {-3, 2, 3} B) (-3} C) (-2} D) (-3, -2, 3} 1 --- V Find the domain of the rational fonction. 9x 3) f(x) (x + 5)(x + 3) A) ali real numbers C) {xlx,o-5,x,o-3,x,o-9} B) (xlx,o-5,x,o-3} D) {xlx,o5,x,o3} Use the graph of the rational function shown to complete the statement. 9) !O y 8 6 4 2 -2 -4 -6 -8 -10 As X-'>--oo, f(x)-? A) +oo 246810X B)-1 C) o Find the vertical asymptotes, if any, of the graph of the rational function. X 10) g(x) = - 2 ~x -25 A)x=5 C)x=S,x=-5,x=O B)x=5,x=-5 D) no vertical asymptote Find the horizontal asymptote, if any, of the graph of the rational function. 11) f(x) = · -20x 5x3 +x 2 +1 1 A) y=- 4 B)y= -4 D) -oo C)y=O D) no horizontal asyrnptote 2 8) __ _ 9) __ _ 10) --- 11) Use transformations of f(x) = .!. or f(x) = 2- to graph !he rational function. X x2 1 12) f(x) = -- 5 + 3 x- 12) ____ _ 5 -5 5 10 x: -5 Solve the polynomial inequality and graph the solntion set on a number line. Express the solntion set in interval notation. 13) x2 - Sx + 12 > O 13) 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 -9 -8 -7 -6 -5 -4 .3 -2 -1 o 1 2 3 4 5 6 7 8 9 A) (-oo, 2) u_ (6, oo) E 1 1 1 1 1 1 1 1 1 1 ~ 1 1 1 f r 1 1 ) -9 -8 -7 -6 -5 -4 -3 -2 -1 o 3 4 5 7 8 9 B) (2, 6) E 1 1 1 1 1 1 1 1 1 1 ! 1 1 1 t 1 1 1 -9 -8 -7 -6 -5 -4 -3 -2 -1 O 3 4 5 1 8 9 C) (6, oo) E 1 1 1 1 1 1 1 1 1 1 1 1 1 1 f 1 1 1 ) -9 -8 -7 -6 -5 -4 -3 -2 -1 o 2 3 4 5 1 8 9 D) (-oo, 2) ~ 1 1 1 1 1 1 1 1 1 1 t 1 1 1 1 1 1 1 -9 -8 -7 -6 -5 -4 -3 -2 -1 o 3 4 5 6 7 8 9 Use the componnd interest formulas A=, 1 + :rt and A= Perl to solve: 14) Find the accumulated value of an investment of $9000 at 5% compounded annually far 6 years. 14) A) $11,486.53 B) $11,700.00 C) $12,060.86 D) $11,250.00 --- 3 Write the equation in its equivalent logarithmic form. 15)3-2 =l. 9 15) --- 1 A)log 39 =-2 Write the equation in its equivalen! exponential form. 16) logb 64= 3 A) 3b = 64 B) b3 = 64 Evaluate the expression without using a calculator. 17) log5 125 A)3 1 C) lag - =3 -2 9 D) lag 113 3=-2 16) 17) C) 1 D)15 Solve the rational inequality and graph the solution set on a real number Iine. Express the solution set in interval notation. X --- --- 18) --2 > O 18) X+ --- ( 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 l -I0-9-8-7-6-5-4-3-2-I O 1 2 345678910 A) (-2, O] ( 1 1 1 1 1 1 1 1 ~ 13 1 1 1 1 1 1 1 1 1 1 l -10-9-8-7-6-5-4-3- -1 O 1 2 3 4 5 6 7 8 910 C) (-oo, -2] or [O, oo) El 1 1 1 1 1 l I J 1 [ 1 1 1 1 1 1 1 l l 1) -I0-9-8-7-6-5-4-3-2-1 O 1 2 3 4 5 6 7 8 910 Find !he domain of the logarithmic function. 19) f(x) = lag3 (x - S) A)(-8,oo) B)(S,oo) B) (O, oo) ( 1 1 1 1 1 1 I 1 1 1 ! 1 1 1 1 1 1 1 1 1 1) -10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 10 D) (-oo,-2) ar(O, oo) (1 l 1 1 l 1 1 l) 1 h I l l ! 1 1 1 1 1) -10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 910 C) (-oo, O) ar (O, oo) D) (-oo, 8) or (8, oo) Evaluate or simplify the expression without using a calculator. . 20) 1nc?-. A)2 B) 1 C) e 4 19) --- 20) ---

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