1551-test1

1551-test1 - M1551 Test 1. September 4, 2009 Name:...

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M1551 Test 1. September 4, 2009 Name: Instructions. Do problems in space provided (continuing on back if necessary). This is a 100-point test. 1. [5 points] Using the absolute-value symbol and < (or > ), express the following statement in mathematical symbols: “the distance from W to 3 is strictly greater than 5”. 2. [10 points] Describe as a union of intervals: the set of all x such that | 2 x - 9 | ≥ 100. In problems 3 and 4, let be the line through ( p, p 2 ) and ( q, q 2 ) , where p and q are any real numbers. 3. [5 points] Write the equation for in slope-intercept form ( y = mx + b ): 4. [10 points] Express as a function of p : the value that q must have in order for to pass through (0 , 1): 5. [5 points] Write as a mathematical expression: “the average rate of change of f ( x ) on the interval from x = 6 . 9 to x = 7.” 1

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6. [5 points] Express as a limit: “the instantaneous rate of change of f ( x ) at x = 7.” 7. [10 points] An object falls from 256 feet, so its height after
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1551-test1 - M1551 Test 1. September 4, 2009 Name:...

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