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2. Draw the graph of a function f(x) with all the following properties. There will be more than one possible correct answer. I recommend using a pencil for this part. Be sure to draw your function clearly and neatly. -4 -3 -2 -1 3 2 -1- 0 -1- -2- -3- 2 3 (a) f(x) is a function and is continuous for all values of x. (b) f(x) is differentiable everywhere, except at x = 3. (c) f has a global maximum at x = 3. (d) f has a local maximum at x = -1, and f'(-1) = 0. (e) f has y-intercept at y = 1 (f) f'(x) > 0 on (-∞, -1) U (2, 3) and f'(x) < 0 on (-1,2) U (3, ∞) (g) f"(x) > 0 on (0, 3) U (3, ∞o) and f"(x) < 0 on (-∞0,0) 4

2. Draw the graph of a function f(x) with all the following properties. There will be more than one possible correct answer. I recommend using a pencil for this part. Be sure to draw your function clearly and neatly. -4 -3 -2 -1 3 2 -1- 0 -1- -2- -3- 2 3 (a) f(x) is a function and is continuous for all values of x. (b) f(x) is differentiable everywhere, except at x = 3. (c) f has a global maximum at x = 3. (d) f has a local maximum at x = -1, and f'(-1) = 0. (e) f has y-intercept at y = 1 (f) f'(x) > 0 on (-∞, -1) U (2, 3) and f'(x) < 0 on (-1,2) U (3, ∞) (g) f"(x) > 0 on (0, 3) U (3, ∞o) and f"(x) < 0 on (-∞0,0) 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Draw the graph of a function f(x) with all the following properties. There will be more than one possible correct answer. I recommend using a pencil for this part. Be sure to draw your function clearly and neatly. -4 -3 -2 3 2 -1- 0 -1- -2- -3- 1 2 (a) f(x) is a function and is continuous for all values of x. (b) f(x) is differentiable everywhere, except at x = 3. (c) f has a global maximum at x = 3. 3 AW (d) (d) f has a local maximum at x = -1, and f'(-1) = 0. (e) f has y-intercept at y = 1 (f) f'(x) > 0 on (-∞, -1) U (2, 3) and f'(x) < 0 on (-1,2) U (3, ∞) (g) f"(x) > 0 on (0, 3) U (3, ∞) and f"(x) < 0 on (-∞,0) 4
Transcribed Image Text:2. Draw the graph of a function f(x) with all the following properties. There will be more than one possible correct answer. I recommend using a pencil for this part. Be sure to draw your function clearly and neatly. -4 -3 -2 3 2 -1- 0 -1- -2- -3- 1 2 (a) f(x) is a function and is continuous for all values of x. (b) f(x) is differentiable everywhere, except at x = 3. (c) f has a global maximum at x = 3. 3 AW (d) (d) f has a local maximum at x = -1, and f'(-1) = 0. (e) f has y-intercept at y = 1 (f) f'(x) > 0 on (-∞, -1) U (2, 3) and f'(x) < 0 on (-1,2) U (3, ∞) (g) f"(x) > 0 on (0, 3) U (3, ∞) and f"(x) < 0 on (-∞,0) 4
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