15. Sketch the graph of a continuous function f with: (a) f(1) = 3, f(1) = 0 and the point (1,3) a rela tive maximum of f. (b) f(2) = 1, f (2) = 0 and the point (2, 1) a rela tive minimum of f. (c) f(3) = 5, f is not differentiable at x = 3, and the point (3,5) a relative maximum of f.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 61E
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15. Sketch the graph of a continuous
function f with: (a) f(1) = 3, f(1) = 0 and
the point (1,3) a rela tive maximum of f. (b)
f(2)
=
1, f(2) = 0 and the point (2, 1) a rela
tive minimum of f. (c) f(3)
= 5, f is not
differentiable at x = 3, and the point (3, 5) a
relative maximum of f.
Transcribed Image Text:15. Sketch the graph of a continuous function f with: (a) f(1) = 3, f(1) = 0 and the point (1,3) a rela tive maximum of f. (b) f(2) = 1, f(2) = 0 and the point (2, 1) a rela tive minimum of f. (c) f(3) = 5, f is not differentiable at x = 3, and the point (3, 5) a relative maximum of f.
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