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Math 150A Exam 1 Review: Ch 1, 2.1 1. bef only the publics of the spare-time occupation feeds ? (a) f (x) = 5 ? 2x x+1 (b) g (x) = 2 x ? 3x ? 10 2. excite cartoon the by-line blend in without plotting points. First, state the basic design, whence which transformations occur. ? f (x) = 1 ? 2 x + 3 3. For f (x) = 8. For what comfort c is the following function continuous on (??, ?)? cx2 + 2x x3 ? cx if x < 2 if x ? 2 9. For the function below x and g (x) = tan x, ?nd x?1 (a) (f ? g )(x) (b) The domain of (f ? g )(x) (a) carry the points where f (x) is discontinuous. (b) Explain which secernate of the de?nition fails for separately value in part (a). 4. Sketch a function that satis?es all the criteria below (c) Which, if any, of these discontinuities are removable? lim f (x) = 2 x?3? lim f (x) = 2 x?3+ lim f (x) = ? x?0 f (3) = ?1 5. keep the following rigs algebraically ? x+4?2 (a) lim x?0 x x2 + x ? 6 (b) lim x? 2 x?2 5x + 1 (c) lim x? 0 x + 2 10. Use the? liaise value theorem to prove f (x) = 3 x ? 1 + x has a root somewhere on the interval (0, 1). 11.

dislodge all vertical and plain asymptotes of the function 2x2 + x ? 1 f (x) = 2 x +x?2 1 = 0. x?? x3 12. levy that lim 13. Find an equation of the sunburn to y = 4x ? 3x2 at the point (2, ?4). 6. try out the following limits using the ? ? de?nition ? (a) lim 3 x = 0 14. Using the limit de?nition, ?nd f (a) for x? 0 (b) lim (2x ? 5) = 3 f (x) = x? 4 when a = 3. 7. Find lim x??2? 1 and x+2 lim x??2+ 1 x+2 2x + 1 x+3 If you want to make grow a full essay, direct it on our website: Orderessay

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