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Unformatted text preview: Math 16A Short Calculus, section 2 Practice Midterm #1 Solutions 1. True/False Mark each question as ( T )rue or ( F )alse. a. T The line ( y- 3) = 2( x + 4) is in point-slope form. b. F If f ( x ) = 1 x and g ( x ) = 1 x 2 , then f g ( x ) = 1 x 3 . c. T If p ( x ) is a polynomial function and c is any real number, then lim x c p ( x ) = p ( c ). d. F Two lines are parallel if and only if their slopes are negative reciprocals of each other. e. F For any real number c , if f ( c ) is defined then f is contin- uous at c . f. T A function never intersects its vertical asymptotes. g. F The function x- 7 x- 7 has a vertical asymptote. h. T The general form of a circle is Ax 2 + Ay 2 + Dx + Ey + F = 0. i. T The graph of y = 2 x 2 + 2 passes through Quadrant II. j. F If an equation passes the horizontal line test, then the equation defines a function. 2. Lines and Circles (a) Consider the points (2 ,- 3) and (- 2 , 3). i. What is the distance between the points? Distance = p (2- (- 2)) 2 + (- 3- 3)) 2 = 4 2 + 6 2 = 52 = 2 13 ....
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