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Unformatted text preview: MATH 1501 Sample Quiz Questions for Test 1, Fall 2007 WTT Note 1: There are approximately two to three times as many problems listed here as you can expect on an hour exam, but this more comprehensive version should be of greater assistance to students in studying for the test. Also, in some cases, I havent left as much space on this page as will be the case on an actual test. 1. The statement lim x c f ( x ) = L means: 2. The statement f ( x ) is continuous at c means: 3. Sketch the graph of a function f which is: a. continuous for all values of x except x = 1. b. continuous from the left at x = 1; c. not continuous from the right at x = 1; d. not differentiable at x = 2 and at x = 4. 4. Given f ( x ) = sin x and g ( x ) = cos x , sketch the graphs of a. 2 f + 3 g . b. fg . c. f g . 5. Give examples of functions f and g so that a. For every real number c , neither f nor g is continuous at c ; b. for every real number c , the sum f + g is continuous at c ; c. for every real number c , the product fg is continuous at c ; (Hint: Consider functions defined one way on rationals and another on irrationals)....
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