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Unformatted text preview: Midterm #1B Solutions 1. True/False (30 points, 3 points each) Mark each question as ( T )rue or ( F )alse. a. T The general form of a circle is Ax 2 + Ay 2 + Dx + Ey + F = 0. b. F A function never intersects its horizontal asymptotes. c. F The function x − 7 x − 7 has a vertical asymptote. d. T The graph of y = 2 x 2 + 2 passes through Quadrant II. e. T If p ( x ) is a polynomial function and c is any real number, then lim x → c p ( x ) = p ( c ). f. F Two lines are parallel if and only if their slopes are negative reciprocals of each other. g. F If an equation passes the horizontal line test, then the equation defines a function. h. T The line ( y − 3) = 2( x + 4) is in pointslope form. i. F If f ( x ) = 1 x and g ( x ) = 1 x 2 , then f ◦ g ( x ) = 1 x 3 . j. F For any real number c , if f ( c ) is defined then f is contin uous at c . 2. Lines and Circles (40 points) (a) Consider the points ( − 3 , 2) and (3 , − 2). i. What is their midpoint? (5 points) Midpoint = parenleftbigg − 3 + 3 2 , 2 + ( − 2) 2 parenrightbigg = (0 , 0) . ii. What is the distance between the points? (5 points) Distance = radicalbig ( − 3 − 3) 2 + (2 − ( − 2))) 2 = √ 6 2 + 4 2 = √ 52 = 2 √ 13 ....
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This note was uploaded on 04/20/2008 for the course MATH 16A taught by Professor Sabalka during the Spring '08 term at UC Davis.
 Spring '08
 Sabalka
 Asymptotes

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