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16Ahw1

# 16Ahw1 - x x 2 g x = x 3-5 4 Which of the following...

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Math 16A, Spring 2010 HW1, Apr-9-10 Due by Apr-16-10. I will collect HW1 in class, or you can put it in Lingyun Li mailbox @ MSB We will grade randomly one of the following exercises: 1. Given the line L 1 : 2 y + 6 x = 4, find the equation for A L 2 , orthogonal to L 1 passing trough the point (2 , - 2) B L 3 , parallel to L 1 passing trough the point (1 , 1) C L 4 , parallel to L 1 with y intercept = 4 D Is the line L 5 passing trough the origin (0 , 0) and the point (1 , - 3), parallel or orthogonal to one of the previous lines? Sketch the graph for all these lines. 2. Which of the following equations describes y as a function of x ? A x 2 - 3 y 3 = 2 B x 2 - y 2 x + y = 1 C y 2 - 4 x + 2 = 0 D y - x - 1 = 1 E 1 xy = 2 for those of them satisfying this requirement, which is the domain and the range? 3. Find the composite function f · g and g · f , when A f ( x ) = x 3 , g ( x ) = x - 1 - 2 B f ( x ) = 1 x - 5 , g ( x ) = x 2 C f ( x ) = x 2 + x, g ( x ) = 1

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Unformatted text preview: x x +2 , g ( x ) = x 3-5 4. Which of the following functions is one to one? A f ( x ) = x 2-1 B f ( x ) = 5 x + 2 C f ( x ) = x 2-1 x +1 D f ( x ) = x 3 + 2 x 2-6 E f ( x ) = √ 2 x-4 for those of them satisfying this requirement ﬁnd the inverse function. 5. Find the left and right limit (lim x → 2 ± f ( x )), and, if it exists, lim x → 2 f ( x ), for the following functions A f ( x ) = x x-2 B f ( x ) = | x-2 | x-2 C f ( x ) = 3 when x > 2 1 when x = 2 x + 1 when x < 2 D f ( x ) = x 2-4 x-2 E f ( x ) = x 2 +5 x-2 F f = 2 x 2-2 when x > 2 6 when x = 2 x + 4 when x < 2 Which of the previous functions is continuous everywhere in the do-main? 2...
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