PracticeSet1-9 - MAC 2311(Nonengineering Some Review...

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MAC 2311 (Nonengineering) Some Review Problems, Lectures 1 { 9 This problem set is not meant to be comprehensive. It gives more practice on some of the key concepts of the lectures. It will not be collected or graded, but you can ask your TA or lecturer for help, or ask at the Broward Teaching Center. The answers are given at the end of the problem set. 1. Find the domain of f ( x ) = r x 2 + 3 x ¡ 10 x ¡ 1 2. Sketch the graph of y = x 2 ¡ 5 x + 6 j x ¡ 3 j 3. Sketch the graph of f ( x ) = x 2 + 3 if x 1 4 ¡ x if x > 1 4. Sketch the graphs of f ( x ) = 4 ¡ x 2 and g ( x ) = 4 x ¡ x 3 x . Find lim x ! 0 f ( x ) and lim x ! 0 g ( x ). 5. Solve the equation 2 sin 2 x ¡ 2 p 2sin x + 1 = 0 for 0 x < 2 . 6. If sin = 1 3 , tan = ¡ p 8 3 , and , are second quadrant angles, flnd the value of cos( + ). 7. Solve the inequality cot x < ¡ tan x for 0 x < 2 . 8. Sketch the graph of f ( x ) = 2 ¡ ( x +1) + 1. Find its inverse and graph the inverse on the same axes.
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This note was uploaded on 02/14/2012 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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PracticeSet1-9 - MAC 2311(Nonengineering Some Review...

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