Midterm #1A

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

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Unformatted text preview: Midterm #1A Solutions 1. True/False (30 points, 3 points each) 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. F A function never intersects its horizontal 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 (40 points) (a) Consider the points (2 , − 3) and ( − 2 , 3). i. What is the distance between the points? (5 points) Distance = radicalbig (2 − ( − 2)) 2 + ( − 3 − 3)) 2 = √ 4 2 + 6 2 = √ 52 = 2 √ 13 . ii. What is their midpoint? (5 points) Midpoint = parenleftbigg 2 + ( − 2) 2 , − 3 + 3 2 parenrightbigg = (0 , 0) ....
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Midterm #1A - Midterm#1A Solutions 1 True/False(30 points 3...

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