3. The graph below is the graph of the derivative function f' of a function f. Y 4 2 my 2 -4 'f' For each of the statements below (about the function f) decide whether they are correct, wrong or cannot be decided upon with the given information. (You only need the graph to do this: do not try to find a function equation for the function f.) a. f(0) is positive; b. f(2.5) > f (3); c. f has a local minimum at -4; d. on the interval [-1,1], the graph of f is concave down.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. The graph below is the graph of the derivative function f' of a function f.
-4
4
2
-2
-4
Y
2
For each of the statements below (about the function f) decide whether they are correct, wrong or
cannot be decided upon with the given information. (You only need the graph to do this: do not try
to find a function equation for the function f.)
a. f(0) is positive;
b. f(2.5) > f(3);
c. f has a local minimum at -4;
d. on the interval [-1,1], the graph of f is concave down.
Transcribed Image Text:3. The graph below is the graph of the derivative function f' of a function f. -4 4 2 -2 -4 Y 2 For each of the statements below (about the function f) decide whether they are correct, wrong or cannot be decided upon with the given information. (You only need the graph to do this: do not try to find a function equation for the function f.) a. f(0) is positive; b. f(2.5) > f(3); c. f has a local minimum at -4; d. on the interval [-1,1], the graph of f is concave down.
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