32. O A O B (A) Zero (B) Two (a, f(a)) (C) Three (D) Four a O Graph of f (b, f(b)) The graph of a function f with f(b) > f(a) is shown above for a ≤x≤ b. The derivative of fexists for all z in the interval a < x < b except x = 0. For how many values of c, for a < c < b, does lim f(z)-f(c) f(b)-f(a) z-c 6-a ZIC ? +X b

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
32
32.
A
B
C
(A) Zero
(B) Two
(C) Three
(D) Four
(a, f(a))
a
(b, f(b))
in
O
Graph of f
+X
b
The graph of a function f with f(b) > f(a) is shown above for a ≤ x ≤ b. The derivative of fexists for all z in
the interval a < x < b except = 0. For how many values of c, for a <c<b, does limf(z)-f(c)
f(b)-f(a)
21c
b-a
ZIC
Transcribed Image Text:32. A B C (A) Zero (B) Two (C) Three (D) Four (a, f(a)) a (b, f(b)) in O Graph of f +X b The graph of a function f with f(b) > f(a) is shown above for a ≤ x ≤ b. The derivative of fexists for all z in the interval a < x < b except = 0. For how many values of c, for a <c<b, does limf(z)-f(c) f(b)-f(a) 21c b-a ZIC
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