Sketch a function with the following characteristics. Your graph should be ONE graph not multiple graphs. (a) lim f(x) = -2 --4- (b) lim f(x) = 6 24-4+ (c)f(-4)= 4 (d) f(x) > 0 on (-10,-4), (-4,0) (e) f'(x) < 0 on (0, 1) (f) f'(x) > 0 on (-10,-4), (0, 1) (g) f'(x) <0 on (-4,0), (1,8) (h) lim f(x) = 1 2-1+ (i)f(1) = 8 (j) lim f(x) = -5 2-8- (k) lim f(x) = 4 2-8+ (l)f(8) = 1

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Sketch a function with the following characteristics. Your graph should be ONE graph not multiple
graphs.
(a)_lim_ f(x) = -2
+-←科
(b) lim_ f(x) = 6
x→-4+
(c)f(-4)= 4
(d) f'(x) > 0 on (-10,-4), (-4,0)
(e) f'(x) < 0 on (0, 1)
(f) f'(x) > 0 on (-10, –4), (0, 1)
(g) f'(x) < 0 on (-4, 0), (1,8)
(h) lim f(x) = 1
2-1+
(i)f(1) = 8
(j) lim f(x) = -5
2-8-
(k) lim f(x) = 4
2+8+
(1)f(8) = 1
Transcribed Image Text:Sketch a function with the following characteristics. Your graph should be ONE graph not multiple graphs. (a)_lim_ f(x) = -2 +-←科 (b) lim_ f(x) = 6 x→-4+ (c)f(-4)= 4 (d) f'(x) > 0 on (-10,-4), (-4,0) (e) f'(x) < 0 on (0, 1) (f) f'(x) > 0 on (-10, –4), (0, 1) (g) f'(x) < 0 on (-4, 0), (1,8) (h) lim f(x) = 1 2-1+ (i)f(1) = 8 (j) lim f(x) = -5 2-8- (k) lim f(x) = 4 2+8+ (1)f(8) = 1
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