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Unformatted text preview: f1 . (c) (4 pts) Evaluate f1 (1) 5. Find all vertical and horizontal asymptotes (you needn’t graph the functions): (a) (3 pts) y = sin x (b) (6 pts) y = 2 x 2 ( x 21)( x +2) (c) (6 pts) y = tan x 6. Given a function f ( x ): (a) (4 pts) State the deﬁnition of the derivative f ( x ) . (b) (7 pts) Directly from the deﬁnition, derive the value of f (2) if f ( x ) = x 3 . (Hint: ( xa ) 3 = x 33 ax 2 +3 a 2 xa 3 ). 7. (7 pts) Draw the graph of a function continuous except at x = 2 , such that f (2) = 1 , lim x → 2= 0 , and lim x → 2+ = 4 . (Use closed and open dots correctly at x = 2 . ) 8. (7 pts) Find the equation of the line perpendicular to the graph of y = 2 x 23 at the point (1 ,1)....
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 Fall '09
 GRAVNER
 Math, Calculus, Derivative, pts, Continuous function

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