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Midterm #1B

# Midterm #1B - Midterm#1B Solutions 1 True/False(30 points 3...

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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 point-slope 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 .

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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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