1:391 Listo MAC+1140+Review+1... Q A MAC 1140 Review 1 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a graphing calculator to plot the data and find the quadratic function of best fit. 1) A rock is dropped from a tall building and its distance (in feet) below the point of release is 1) recorded as accurately as possible at various times after the moment of release. The results are shown in the table. Find the regression equation of the best model. Round values to the nearest thousandth. x (seconds after release)| 1 2 3 4 5 6 y (distance in feet) 16 63 146 255 403 572 A) y =-3.400x2 + 2.936x + 15.536 B) y = 15.536x2 + 2.936x - 3.400 C) y = 15.536x2 + 2.936x + 3.400 D) y = 3.400x2 + 2.936x + 15.536 Solve the problem. 2) A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the 2) developer has 220 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed? A) 3025 ft2 B) 12,100 ft2 C) 9075 ft2 D) 6050 ft2 Determine the quadratic function whose graph is given. 3) 3) (0, 3) A) f(x) = 2x2 + 4x + 3 B) f(x) = -2x2+ 4x + 3 C) f ( x) = 2x2 - 8x + 3 D) f(x) = -2x2 - 4x - 3 Find the vertex and axis of symmetry of the graph of the function. 4) f(x) = x2-5x +7 4) A) (-5, 57) ; x =-5 C) - 5 103 N / C D) (7, 7) ; X =7 Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. 5) x 1 3 5 7 9 y 143 116 100 98 90 5 ) A) y =-6.2x + 140.4 B) y =-6.8x + 150.7 C) y = 6.8x - 150.7 D) y = 6.2x - 140.4 Solve the problem. 6) Suppose that f(x) = -x - 7 and g(x) = x - 14. 6) (a) Solve f(x) = 0. (b) Solve g(x) = 0. (c) Solve f(x) = g(x). A) (a) x =-7; (b) x = 14; (c) x =3.5 B) (a) x =-7; (b) x = 14; (c) x =-10.5 C) (a) x =-7; (b) x =-14; (c) x =3.5 D) (a) x =7; (b) x =14; (c) x =3.5 7) Let f(x) be the function represented by the dashed line and g(x) be the function represented by the 7) E1:401 Listo MAC+1140+Review+1... Q A 8 de 9 Find and simplify the difference quotient of f, fox thi -109, h= 0, for the function. 22 ) f ( x ) = x2 + 2x + 4 22) A) 2x2 + 2x + 2xh + h2+h+8 B) 1 C) 2x + h +4 D) 2x + h+2 Find the domain of the function. 23) h(x) =- x - 2 23) x3 - 16x A) (xlx # -4, 0, 4} B) (x1x = 0) C) all real numbers D) (xlx * 2) For the given functions f and g, find the requested function and state its domain. 24) f(x) = 9x + 7; g(x) = 7x - 4 24) Find f . g. A) (f . g)(x) = 63x2 + 13x - 28; all real numbers B) (f . 8)(x) = 16x2 + 13x + 3; all real numbers C) (f g)(x) = 63x2 + 45x - 28; (x/x * -28) D) (f g)(x) = 63x2 - 28; (x/x # -28) Determine whether the equation defines y as a function of x. 25) x - 2y = 6 25) A) function B) not a function Answer Key Testname: MAC 1140 REVIEW 1 1) E 2) I E1'40 '1 MAC+1140+Review+1... Solve the problem. 15) The figure shnwn here shows a rectangle inscribed in an isosceles right triangle whose hypntenuse 15) is 2 units lung. Express the area A at the rectangle in terms at x. Y 71 A) A(x) = 2x2 B) Am = 2x(] 7 x) C) A(x) = x0 7 x) D) Am = 2x(x 7 1) 16) A box with an open [up is to be cunslructed from a rectangular piece of cardboard with 16) dimensions 10 inches by 22 inches by cutting out equal squares of side x at each comer and then folding up the sides as in the gure. Express the volume V of the box as a fund-inn of x. A) V(x) = we 7 2x)(22 7 2x) B) V(x) = (10 7 2x)(22 7 2x) C) V(x) = we 7 x)(22 7 x) D) V(x) = (10 7 x)(22 7 x) The graph of a piecewisedefined function is given Write a definition for the function. 17) 1:401 Listo MAC+1140+Review+1... Q A The graph of a piecewise-defined function is given. Write a definition for the function. 17) 17 ) (0, 4) (3, 2) A) "x+4 if-3sxs0 4x+4 if -3sxs0 f(x ) = f ( x) = if x > 0 W/ N N /W if 0 0 N /W if x 2 0 For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. 18) 18) (3, 5) (4, 3) 1, 2) A) Absolute maximum: f(-1) = 6; Absolute minimum: f(1) = 2 B) Absolute maximum: none; Absolute minimum: f(1) = 2 C) Absolute maximum: none; Absolute minimum: none D) Absolute maximum: f(3) = 5; Absolute minimum: f(1) = 2 Determine algebraically whether the function is even, odd, or neither. 19) f(x) = 6x3 + 2 19) A) even B) odd C) neither Graph the function. 20 ) f ( x ) = - x+ 2 ifx3 B)x>72 C)x