110exam1solutions

110exam1solutions - Math 110, Section: Exam # Instructor's...

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Math 110, Section: Exam # Instructor’s Name: Student’s Name: By signing my name below, I agree that I am following all rules and regulations set forth by the Code of Academic Integrity. Furthermore, I agree that I am following all rules set by my instructor and by the course policy for this exam. This includes ensuring that all calculator programs except possibly EVALUATE and QUADRATIC FORMULA have been deleted. Signature: Date: 1
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Directions 1. SHOW YOUR WORK on problems that require justification. Partial credit will only be given for work shown. 2. You may use calculators. Good luck! 1. Which of the following equations determine y as a function of x ? Circle the correct answer. (No work required). (1) x + y 2 = 9 (2) x + y 3 = 9 (3) xy - 2 + 5 x 2 y = 0 (A) 1 and 2 only (B) 2 and 3 only (C) 2 only (D) all of them Solution: We look for those equations that can be solved for y in terms of x . (1) cannot be solved for y , as we would have a + or - square root, i.e. one input would give two outputs. However, both (2) and (3) can be solved for y in terms of x . The answer is ( B ) 2. Given g ( y ) = 3 y 2 - y + 1, find: (a) g ( t + 2) (b) g ( t ) + g (2) (c) g ( t ) + 2 (d) g (3 r ) Solution: (a) g ( t + 2) = 3( t + 2) 2 - ( t + 2) + 1 = 3( t 2 + 4 t + 4) - t - 2 + 1 = 3 t 2 + 12 t + 12 - t - 1 = 3 t 2 + 11 t + 11 (b) g ( t ) + g (2) = 3 t 2 - t + 1 + (3)2 2 - 2 + 1 = 3 t 2 - t
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110exam1solutions - Math 110, Section: Exam # Instructor's...

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