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Unformatted text preview: The graph of the derivative f of a continuous function f is shown.
(a) On what intervals is f increasing or decreasing?
(b) At what values of x does f have a local maximum or
(c) On what intervals is f concave upward or downward? x2 s 45. f x
31–32 s 2, f x,
0 if x s |||| 33. f x 1,
0 if x
1 if x
2, f x
0, inﬂection point 0, 1 2, s Find the intervals of increase or decrease.
Find the local maximum and minimum values.
Find the intervals of concavity and the inﬂection points.
Use the information from parts (a) – (c) to sketch the graph.
Check your work with a graphing device if you have one. s 29. f x s 37. h x 0 for all x 1, vertical asymptote x
0 if x 1 or x 3, f x
0 if 1 fx s 33–44 .
5, what can you say about f ?
0, what can you say about f ?
, 26–30 |||| Sketch the graph of a function that satisﬁes all of the
given conditions. 26. f x 2 x2 46. f x 1 47. f x sx 2 48. f x x tan x, 49. f x ln 1 1 x 2 x
2 ln x x2 x 2
50. f x ex
1 ex 2...
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This note was uploaded on 12/27/2013 for the course MATHEMATIC 135 taught by Professor Lam during the Fall '07 term at University of Toronto- Toronto.
- Fall '07