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Unformatted text preview: f (1) = 3. f ( x ) is continuous from the left at 0, and from neither the right nor the left at 1. 14. a) -64 units/sec b) -32 units/sec c) y = -32x+64 15. The limits in order are 2,-∞ , + ∞ . f ( x ) has an inﬁnite discontinuity at x = 1, no jump discontinuities, and removable discontinuities at x = 0 and x =-1. It has a vertical asymptote at x = 1. 16. Sketch omitted. The graph has a jump discontinuity at x = 1, but is con-tinuous from the left there. Otherwise, f ( x ) is continuous. 17. A ( t ) = 10(4) t 10 ; 320 grams 18. Show f ( g ( x )) = x and g ( f ( x )) = x for the x values in the proper domains; a diﬀerent way is to solve one of the functions for x and see that it is the other function....
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- Fall '08
- Calculus, Mathematical analysis, Continuous function, Limit of a function, Classification of discontinuities, Review Answers– Exam