88. Let f be a twice-differentiable function such that f"(x) < 0 for all x. The graph of y = S(x) is the secant line passing through the points (3,f (3)) and (5,f(5)). The graph of y = T(x) is the line tangent to the graph of f at x = 4. Which of the following is true? %3D (A) f(4.2) < S(4.2) < T(4.2) (B) f(4.2) < T(4.2) < S(4.2) く (C) S(4.2)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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#88 AP Calculus AB question attached.

88. Let fbe a twice-differentiable function such that f"(x) < 0 for all x. The graph of y = S(x) is the secant line
passing through the points (3,f(3)) and (5,f(5)). The graph of y T(x) is the line tangent to the graph of f at
x = 4. Which of the following is true?
DI
(A) f(4.2) < S(4.2) < T(4.2)
(B) f(4.2) < T(4.2) < S(4.2)
(C) S(4.2) <f(4.2) < T(4.2)
(D) T(4.2) <f(4.2) < S(4.2)
Transcribed Image Text:88. Let fbe a twice-differentiable function such that f"(x) < 0 for all x. The graph of y = S(x) is the secant line passing through the points (3,f(3)) and (5,f(5)). The graph of y T(x) is the line tangent to the graph of f at x = 4. Which of the following is true? DI (A) f(4.2) < S(4.2) < T(4.2) (B) f(4.2) < T(4.2) < S(4.2) (C) S(4.2) <f(4.2) < T(4.2) (D) T(4.2) <f(4.2) < S(4.2)
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