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MATH001 Term:122 Major Exam I1 Thursday, 18th April 2013 Code: 001 Page: 1 1) The sum of the solutions of the equation (14 - 2 ~ ) =~4 ' is~ equal to 2) Which one of the following statements is FALSE about the graph of the --1 x 2 + 2 , if x < 2 2 function Ax) = 1 -X , if x > 2 2 A) The graph off has two x-interc [Hint: Sketch the graph] a . p # /E ~ S S @ rO & ) ? n d b # t 8 1 / 9 . 2-16 B) The graph off lies above the x-axis over the interval (-2, 2) u (2, w). 0 The graph off is decreasing over the interval (- m, 01. D) The graph off has one y- intercept. E) The graph off is increasing over the interval (2, AY I. w). &$&we %e Juea; 13 * 9 ouirh fke L A k d re, g ' (c) k FALSE. -. Code: 001 Page: 2 Major Exam I1 Thursday, 18th April 2013 MATH001 Term: 122 3) The solution set, in interval notation, of the inequality x3 + 3 2 -16 x is * A) (-..I -31 u [4, - ~ 3 ~ 3 ldx ~ 3 4 : 8 5 C 6 ~ % h + 3 ) 16(+3\ + B) [-3, -) 4) The solution set, in interval notation, of the inequality - 5 48 MATH001 Term: 122 Code: 001 Page: 3 Major Exam I1 Thursday, 18th April 2013 5) The line passing through the points (-1,5) and (2, 0) passes through 6) One of the nonreal complex solutions of the equation x3 - 8 = 0 is MATH001 Term: 122 Major Exam I1 Thursday, 18th April 2013 7 )If -6(2x + 1 ) - 3 ( x - k) = -15x + 1 is an identity then k = Code: 001 Page: 4 Major Exam I1 Thursday, 18th April 2013 MATH001 Term: 122 Code: 001 Page: 5 9) The sum of the real and imagnary parts of the complex number + m r w h e r e i = a r isequalto 4 i19 10) If the difference between seven times a number and 9 is equal to five times the sum of the number and 2 then the number is L O + %e rru**hh A) 7.25 =h 7 X - 7 z 5 ( x c ~ ) Major Exam I1 Thursday, 18th April 2013 MATH001 Term: 122 Code: 001 Page: 6 11) If (h, k) is the center and r is the radius of the circle 2x2 + zY2- 6x + 10y = 1, then h + k + r = 1 =$ A) 8 ~ ~ + ~ " - ~= %+57 - 12) The solution set ,in interval notation, of the inequality -2 3 is x+2 5 - 2 @ B) 5 (-5--I 3 -2) u (--,5 w) 3 D) ( - ~ , -5- 1 ~ [ 2 w ) 3 5 E) [-2, --I 3 C) (-w, =BJ%+&- =& 3 ,* 4 0- I -3x-4 -(3~+5) )cf2 3 JW-5 C, XCL * +/0 Major Exam I1 Thursday, 18th April 2013 MATH001 Term: 122 13) The solution set of the equation Jx + 2+ Code: 001 Page: 7 =1 contains = f -( z 0 one negative rational number only.= $ ~ l c + ~rl-2 WL +XCZA) two positive rational numbers. e' m C) one positive rational number only. D) two negative rational numbers. ==+a>c+y -- -2. * r 3 k y +L=-'o E) no real numbers. / 1 14) The sum of the solutions of the equation -= 3 is equal to MATH001 Term: 122 Major Exam I1 Thursday, 18th April 2013 Code: 001 Page: 8 15) If (x,-2) is the midpoint of the line segment joining (-6, y) and (22, -16), then x + y = 16) If the line passing through the points (2, 6)and (-4, k) is parallel to the line 2x - 3y = 4 ,then k is equal to MATH001 Term: 122 Major Exam I1 Thursday, 18th April 2013 Code: 001 Page: 9 17) If, by completing the square for the quadratic equation 9 x 2 - 12x + 9 = 0 , we get ( x - ~ =) b~ , then a + b = 1 8 ) If the graph of a A) f ( x ) = -x -1 C ) f ( x ) = 3x - 1 @f ( X ) = --X31 -1 Major Exam I1 Thursday, 18th April 2013 MATH001 Term:122 Code: 001 Page: 10 19) Which one of the following relations defines y as a function of x ? A) x=y6 B) x2 - y2 C) lyl = x =9 8 c my= F 4 barn- = c+~&g 20) The equation of the circle with center (-3, 2) and tangent to the y-axis is