math1120 test 3

# math1120 test 3 - Math 1120 Calculus Test 3 Your name The...

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Math 1120 Calculus Test 3. November 15, 2001 Your name The multiple choice count 5 points each and the true-false problems count 3 points each. In the multiple choice section, circle the correct choice (or choices). You must show your work on the other problems. The total number of points available is 122. 1. True-false questions. Circle the appropriate word, true or false. (a) True or false. Every continuous function f on an interval [ a, b ] must have an absolute maximum somewhere in the interval. Ie, there exists a point c [ a, b ] such that f ( c ) f ( x ) for all x [ a, b ]. (b) True or false. The graph of a function cannot touch or intersect a hori- zontal asymptote to the graph of f . (c) True or false. If f ( c ) = 0, then f has a relative maximum or a relative minimum at x = c . (d) True or false. If f has a relative maximum or a relative minimum at x = c , then f ( c ) = 0. (e) True or false. If f ( c ) = 0 and f ( c ) < 0, then f has a relative maximum at x = c . 1

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