3. A continuous function ƒ is defined on the closed interval -4≤x≤4. The graph of the function, shown in the figure to the right consists of a line and two curves. There is a value a, -4≤a<4, for which the Mean Value Theorem, applied to the interval [a,4] guarantees a value c, a ≤c<4 at which ƒ'(c)=3. What are possible values of a? I. -4 II. 0 III. 2 A. I only B. II only D. II and III only E. I, II and III C. III only -3 -2 7 12 10 8 6 4 2 Na -4 -6 -8 1 (2.6) 2 3 (4.12)
3. A continuous function ƒ is defined on the closed interval -4≤x≤4. The graph of the function, shown in the figure to the right consists of a line and two curves. There is a value a, -4≤a<4, for which the Mean Value Theorem, applied to the interval [a,4] guarantees a value c, a ≤c<4 at which ƒ'(c)=3. What are possible values of a? I. -4 II. 0 III. 2 A. I only B. II only D. II and III only E. I, II and III C. III only -3 -2 7 12 10 8 6 4 2 Na -4 -6 -8 1 (2.6) 2 3 (4.12)
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.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 33E
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