Sketch the graph of a single function that has all of the properties listed. a. Continuous and differentiable for all real numbers b. f'(x) > 0 on (-∞, -2) and (2,5) c. f'(x) <0 on (-2,2) and (5,00) d. f''(x) <0 on (-∞,0) and (3,00) e. f''(x) > 0 on (0,3) f. f'(-2) = f'(5)=0 g. f''(x) = 0 at (0,3) and (3,4)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Sketch the graph of a single function that has all of the properties listed.
a. Continuous and differentiable for all real numbers
b. f'(x) > 0 on (-∞, -2) and (2,5)
c. f'(x) <0 on (-2,2) and (5,0)
d. f''(x) <0 on (-∞,0) and (3,00)
e. f''(x) > 0 on (0,3)
f. f'(-2) = f'(5)=0
g. f''(x) = 0 at (0,3) and (3,4)
Transcribed Image Text:Sketch the graph of a single function that has all of the properties listed. a. Continuous and differentiable for all real numbers b. f'(x) > 0 on (-∞, -2) and (2,5) c. f'(x) <0 on (-2,2) and (5,0) d. f''(x) <0 on (-∞,0) and (3,00) e. f''(x) > 0 on (0,3) f. f'(-2) = f'(5)=0 g. f''(x) = 0 at (0,3) and (3,4)
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