# r2_new - MAC 1147 Review 2 Spring 2011 Exam 2 covers...

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Unformatted text preview: MAC 1147 Review 2, Spring 2011 Exam 2 covers Lectures 9-18 1. Classify the following functions as even, or odd, or neither even nor odd: (a) u1D453 ( u1D465 ) = 2 u1D465 − 1 (b) u1D453 ( u1D465 ) = 1 √ u1D465 2 + 5 (c) u1D453 ( u1D465 ) = u1D465 3 − u1D465 (d) u1D453 ( u1D465 ) = ∣ u1D465 ∣ 2. Find the average rate of change u1D453 ( u1D465 ) = 1 1 − u1D465 on the interval [ − 3 , − 1]. 3. Given the piecewise defined function: u1D453 ( u1D465 ) = ⎧ ⎨ ⎩ u1D465 2 if u1D465 < u1D465 − 1 if 0 ≤ u1D465 < 2 1 if u1D465 ≥ 2 Find u1D453 ( − 2) , u1D453 (0) , u1D453 (1) , u1D453 (2) and u1D453 (4). On what open intervals is the function increasing, decreasing and constant? Find the local maximum and minimum values of the function if they exist. 4. List all reﬂections, translations and stretching that are needed in order to obtain the graph of u1D453 ( u1D465 ) = − 2 √ − u1D465 + 1 from the graph of u1D466 = √ u1D465 . Find the domain of u1D453 and sketch its graph. What is the range of u1D453 ( u1D465 )? 5. Sketch the graph of 1 − u1D453 ( u1D465 + 2) if u1D453 ( u1D465 ) = 1 u1D465 . Find all vertical and horizontal asymptotes of the graph. 6. Let u1D453 ( u1D465 ) = 1 u1D465 2 and u1D454 ( u1D465 ) = √ 1 − u1D465 . Find: (a) ( u1D453 ⋅ u1D454 )( u1D465 ), uni0028.alt03 u1D453 u1D454 uni0029.alt03 ( u1D465 ) and their domains (b) uni0028.alt03 u1D453 u1D454 uni0029.alt03 ( − 3) (c) ( u1D453 ∘ u1D454 )( u1D465 ) , ( u1D454 ∘ u1D453 )( u1D465 ) and their domains (d) ( u1D453 ∘ u1D454 )(0) 7. Name two functions u1D453 and u1D454 such that ( u1D453 ∘ u1D454 )( u1D465...
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r2_new - MAC 1147 Review 2 Spring 2011 Exam 2 covers...

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