MATH 140 Quiz 1 MULTIPLE CHOICE Select the best answer choice. Write your answer choices below: (1) _____ (2) _____ (3) _____ (4) _____ (5) ____ (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) , for (B) , for (C) , for (D) , for (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 to find given that (A) -1.04 (B) 0.69 (C) 0.35 (D) -3.00 (E) none of the above (5) _____ Find functions f, g, and h such that (A) (B) (C) (D) (E) none of the above (6.) A continuous function has the values: (a) f has at least roots between 0 and 5. (b) in at least ______ places between x = 0 and x = 5. (c) in at ______ least places between x = 0 and x = 5. (d) f in at least ______ places between x = 0 and x = 5. (e) Is it possible for to equal 7 for some x- value(s) between 0 and 5?
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