1) Is the function f(x) = 1/(x-1) continuous on the interval (0, 2)? a) yes b) no c) undefined d) Only at x = ½ 2) Which of the following statements about continuity is true? a) A function can be continuous at a point but not on an interval. b) A function is continuous on an interval if it is continuous at every point in that interval. c) A function is continuous on an interval only if it is continuous at the endpoints of the interval. d) Continuity only applies to functions defined on closed intervals. 3) If the equation of the limit of (2x+1) as x approaches 1 is evaluated, what will be the correct answer? a) 6 b) 3 c) -3 d) -6 4) Identify what kind of interval if the given is (1,2]? a) Open interval b) Closed interval c) Combination interval d) unbounded 5) Which of the following is the interpretation of polynomial functions? a) Polynomial function is continuous everywhere, meaning it is continuous at every real number. b) Although a polynomial function is continuous, it is not continuous at all real numbers. c) A polynomial function is not continuous everywhere, but it is continuous for every real integer. d) A polynomial function is discontinuous everywhere, meaning it is continuous for all real numbers. 6) A function is continuous at a point if: a) The limit exists at that point. b) The function is defined at that point. c) The limit equals the function value at that point. d) All of the above. 7) Which set notation correctly represents an open interval between 1 and 2? a) [1,2] b) (1,2) c) [1,2) d) (1,2] 8) Which interval represents all real numbers? a) (-∞,∞) b) [1,∞) c) (-∞,2] d) (1,2) 9) Is the function f(x) = x² continuous on the interval [-1, 1]? a) No b) Yes c) Undefined d) Only at x=0 10) Is the function f(x) = |x| continuous on the interval (-1, 1)? a) Yes b) No c) Undefined d) Only at x=0
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