(1) _____ The figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 2 units long. Express the area of the rectangle in terms of x. (A) 2 2 x 2 x , for 0 x 1 (B) 2 x 2+ 2 x , for 0 x 1 (C) x (D) 2 x + x , for 1 x 1 2 , for 1 x 1 (E) none of the above (2) _____ The figure shows the graph of a function g(t) with domain [-4, 0] and range [-3, 0]. Find the domain and range of -g(t - 4). (A) D = all real numbers; R = all real numbers (B) D = [-4, 0]; R = [-3, 0] (C) D = [0, 4]; R = [0, 3] (D) D = [-8, -4]; R = [0, 3] (E) none of the above (3) _____ Determine how much time is required for an investment to triple in value if interest is earned at the rate of 5.75% compounded continuously. (A) not enough information (B) 52 years (C) 5 years (D) 19 years (E) none of the above (4) _____ Use the change of base formula log 2 x=1.5 (A) -1.04 log a x= ln x ln a to find ln x given that (B) 0.69 (C) 0.35 (D) -3.00 (E) none of the above (5) _____ Find functions f, g, and h such that ( f o g o h )( x )= (A) f ( x )= 1 x+3 1 1 , g ( x )=x +3, h ( x ) = x x +3 (B) (C) (D) f ( x )=x +3, g ( x )= x , h ( x )= 1 x 1 f ( x )= , g ( x )= x , h ( x )=x +3 x f ( x )= 1 1 , g ( x ) = x , h ( x ) = x+ 3 x (E) none of the above