Given the graph of the function f below, determine all possible inferences that can be made about f and f' when x = = 2. 8 6 5 4 3 2 -1 -10 -9 48 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 x y -7 -8 1 2 3 Graph of f 4 5 6 7 8 10 Note: Even though we cannot technically say a function is increasing or decreasing at a point, you should indicate that either function is increasing or decreasing at x = 2 if it is doing so in a small interval surrounding x = 2. X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given the graph of the function f below,
determine all possible inferences that can
be made about f and f' when x
2.
∞
7
6
+
2
1
-10 -9 8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
ܘ
d
y
-7
-8
1
Graph of f
2 3 4 5 6 7 8 9 10
Note: Even though we cannot technically say a
function is increasing or decreasing at a point, you
should indicate that either function is increasing or
decreasing at x = 2 if it is doing so in a small interval
surrounding x = 2.
X
Transcribed Image Text:Given the graph of the function f below, determine all possible inferences that can be made about f and f' when x 2. ∞ 7 6 + 2 1 -10 -9 8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 ܘ d y -7 -8 1 Graph of f 2 3 4 5 6 7 8 9 10 Note: Even though we cannot technically say a function is increasing or decreasing at a point, you should indicate that either function is increasing or decreasing at x = 2 if it is doing so in a small interval surrounding x = 2. X
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