BRIEF ANSWERS TO TEST 2 FOR COLLEGE ALGEBRA STUDENTS

• center=(-5,11), radius = 12
• S = 6V^(2/3), V = (S/6)^(3/2)
• T = (-1/200)A + 70, T=0 when A = 14,000.
• • symmetric about y-axis
  • symmetric through origin
  • no symmetry
• vertex=(-2,18), range = (-infinity,18], y-intercept: y=10, x-intercepts: x = -5,1.
• 13 dollars
• reflect about x-axis, shift left one unit, compress horizontally by a factor of 2, then shift up one unit. (The order of the transformations is important.)
• • (square_root(1-x))/x^2, dom=(-infinity,0) union (0,1]
  • 1/(1-x), dom=(-infinity,1)
  • square_root(1-(1/x^2)), dom=(-infinity,-1] union [1,infinity)
• • f^(-1)(x) = 2 + 1/(x-1)^3
  • f^(-1)(2)=3
  • f^(-1)(f(x)) = x, except when x = 2.