6. Let f be a function such that f(2) = 3 and f(6) = 19. Which of the following conditions guarantees f'(c) = 4 for some value of c in the interval (2,6)? %3D %3D %3D (A) f is increasing and continuous on [2, 6]. (B) f is continuous on [2, 6]. (C) f is defined for all x in [2,6]. (D) f is differentiable on (2,6) and continuous on [2, 6].
6. Let f be a function such that f(2) = 3 and f(6) = 19. Which of the following conditions guarantees f'(c) = 4 for some value of c in the interval (2,6)? %3D %3D %3D (A) f is increasing and continuous on [2, 6]. (B) f is continuous on [2, 6]. (C) f is defined for all x in [2,6]. (D) f is differentiable on (2,6) and continuous on [2, 6].
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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