2016-practice-test-1

2016-practice-test-1 - Math 2016 Practice Test 1 Name_ ID #...

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Math 2016 Practice Test 1 Name____________________________________ ID # CRN__________ READ THE DIRECTIONS. YOU MUST SHOW ALL WORK ON THIS TEST AND USE METHODS LEARNED IN CLASS OR FROM THE WORKSHEETS TO RECEIVE FULL CREDIT. CALCULATORS ARE NOT PERMITTED. 1. ( 12 pts) Consider the following graph of y = f ( x ) below. a) Determine the following limits. Write + ± or ²± when appropriate. If a limit does not exist, explain why. i ) lim x ±² 2 f ( x )____________ ii lim x ± 0 f ( x )_______________ iii lim x ± 3 f ( x )________________ iv lim x ±³ f ( x )____________ v lim x ±²³ f ( x ) _______________ vi lim x ± 4 f ( x )_________________ 2. ( 10 pts) Given the function f ( x ) = 2 x 2 ± 11 x + 5 x ± 1 () 2 ( x ± 5) , evaluate the following limits using algebraic techniques / limit rules learned in class. If the limit does not exist explain why it does not exist. Use + ± when appropriate. a) lim x ± 5 fx b) lim x ± 1
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c) lim x ± ² fx () d) lim x ± 4 e) Using the work above, write the equations of the vertical asymptote(s) and the horizontal asymptote(s). Vertical asymptote(s): Horizontal asymptote(s): 3. ( 12 pts) Given the function f ( x ) = 3 x 2 + 5 x + 3 if x < 1 x + 2 if x ± 1 ² ³ ´ µ ´ Find the following:
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2016-practice-test-1 - Math 2016 Practice Test 1 Name_ ID #...

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