KCATM 2013 Algebra Team Test. E) No Solution. C x By. E) None of the Above are correct C) 9,19

Transcription

1 KCTM 03 lgebra Team Test School ) Solve the inequality: ,,3 3, 3 E) No Solution Both and B are correct. ) Solve for : By C C B y C By B C y C By E) None of the bove are correct 3) Which of the following is a transcendental number? 7 3i e E) 5 4) Solve: 3 5 or ( 5) 7 No Solution,,, E), 5) projectile is launched from ground level with equation projectile. s( t) 6t 56 t. Find the maimum height of the 64 feet 8 feet 56 feet 5 feet E) 04 feet 6) If and g( ) 5, find f g (). 3 f ( ) E) Not Given 7) Suppose g( ) 3 4. Find g (5). 7/3 / E) Not Given 8) Solve for : , 3i, 3i 3, i 3, i E) Not Given

2 ) Solve for : , 5 i, 5, 5i i, 5i E) Not Given 0) Solve for :. 3 = 5 only = 6 only = 5 & = 6 No Solution E) Not Given ) Simplify: (3 i)(6 5 i) 8 3i 8 3i 8 3i 8 3i E) Not Given ) Find the two imaginary roots of f 4 ( ). i 3 i 3 i 3 i 3 E) Not Given 3) Suppose function. 87 f( ). 54 Find the equations of both the horizontal and vertical asymptotes of the = -, y = = -, y = 7 = 7, y = = -, y = 0 E) Not Given 4) Suppose 3 f( ) and 4 4 f g ( ). The function ( ) 3 g ecludes which numbers from its domain? 3, 4, -4-3, 4, -4 4, -4 3, -3, 4 E) 3, -3, -4 5) Suppose 4 g ( ). Find 3 g ( ). 3 4 g ( ) 3 4 g ( ) 3 4 g ( ) 3 4 g ( ) E) Not Given 6) Solve for : log 3( ) log 3() 3-5/ 5-5 5/ E) and B 7) The equation y y 3 6 represents what conic section? Circle Hyperbola Cone Parabola E) Ellipse

3 8) Suppose a 3n 4. Compute n 5 n a n E) 65 ) Find the 83 rd term of the sequence {86, 7, 7, } E) 4 0) Find the radius of the circle: y y (3, 5) (-3, -5) (3, -5) (-3, 5) E) Not Given ) Solve for : 7 /3. 4-6/7 Both and B /4 E) -/4 ) Solve for : 5.,, 5, 5, E) 5, 3) What interest rate is required to double an investment, compounded quarterly, over a 0-year period? 5% 6% 7% 8% E) % 4) Find the verte of the parabola: y y 6 0. (64, 8) (-64, 8) (-64, -8) (64, -8) E) not given 5) Give the range of the function: f( ) (5) 3. 3,,3 3,,3 E) not given 6) Solve for w: w w. w w w w E) not given 7) Solve for : E) not given

4 8) The distance between points and B is 0 units. If point is located at (4, -) and point B is located (, ), what are the possible values of? 4 and 8-4 and -8-4 and 8 4 and -8 E) not given ) parabola has verte (3, -) and y-intercept (0, 8). Which of the following gives the equation of the parabola? y ( 3) 0 ( 3) y 0 ( 3) y 0 ( 3) y E) 0 ( 3) y 30) n eponential function passes through the points (0, ) and (, 5) and has a horizontal asymptote y =. Find the equation of the eponential function. y 3 y 3 y 4 y E) Either C or D is correct 3) Suppose is inversely related to the square of y. If = 4 when y = 5, then when y =, what does equal? E) 5 3) Line R passes through the points (3, 8) and (3, 3). Find the slope of the line perpendicular to line R. 5 /5 0 -/5 E) Undefined 33) cubic function has been vertically stretched by a factor of, translated left 3 units and translated up 4 units. Which of the following points is on the graph of the cubic function? (-5, -) (-4, 0) (-3, 6) (-, 8) E) (-, 3) 34) Which of the following functions has a removable discontinuity? y y 4 4 y 56 y 8 E) B and D 35) Which of the following functions has a vertical asymptote at =? ye y y 34 y 34 E) C and D

5 36) Suppose f( ). Describe the graph of f ( f ( )). Rational function with graph y =. Quadratic function with graph y =. Linear function with graph y =. Linear function with graph y = and a vertical asymptote at = 0. E) Linear function with graph y = and a removable discontinuity at = 0. 37) Suppose the verte angle of an isosceles triangle is fifteen more than three times than the measure of a base angle. Find the measure of the verte angle E) 4 y 00 38) How many solutions does the system of equations have? y 0 3 E) 4 3) Find the value of k that gives the equation ( n) k eactly one solution. n0 0 3 E) 4 40) The fifth term of a geometric sequence is 84, and the ninth term is /64. Find the second term E) answer not given