Determine whether the following properties can be satisfied by a function that is continuous on (-, ).
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Determine whether the following properties can be satisfied by a function that is continuous on (-∞, ∞). If such a function is possible, provide an example or a sketch of the function. If such a function is not possible, explain why.
a. A function f is concave down and positive everywhere.
b. A function f is increasing and concave down everywhere.
c. A function f has exactly two local extrema and three inflection points.
d. A function f has exactly four zeros and two local extrema.
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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