Provide THREE reasons why the following graph CANNOT be the graph of $f$(x)$$. _Explain your reasons in a sentence or two each. y = f(x) 1 1 3 4 -1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Provide THREE reasons why the following graph CANNOT be the graph of $f$(x)$$. Explain
your reasons in a sentence or two each.
Y = f(x)
1
1
3
4
-1
Transcribed Image Text:Provide THREE reasons why the following graph CANNOT be the graph of $f$(x)$$. Explain your reasons in a sentence or two each. Y = f(x) 1 1 3 4 -1
Suppose that f(x) is an unknown differentiable function with domain 0, 4, A(x) is defined to
be the area function
A(z) = f(t) dt,
and you are given the following sign chart:
A(x)
- + + + + + + + |+ + + ++ + +
f'(x) + + + +++ +
+ + + + + ++
3
Provide THREE reasons why the following graph CANNOT be the graph of $f$(x)$$. Explain
your reasons in a sentence or two each.
2]
Transcribed Image Text:Suppose that f(x) is an unknown differentiable function with domain 0, 4, A(x) is defined to be the area function A(z) = f(t) dt, and you are given the following sign chart: A(x) - + + + + + + + |+ + + ++ + + f'(x) + + + +++ + + + + + + ++ 3 Provide THREE reasons why the following graph CANNOT be the graph of $f$(x)$$. Explain your reasons in a sentence or two each. 2]
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