Is this the graph of a function having the following properties? (I) f'(x) 0 for all x

Name: Is this the graph of a function having the following properties? (I) f'(x) 0 for all x < 0 (III) (0, 1) is a point on the graph
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Question

Is this the graph of a function having the following properties?
(I) f'(x) < 0 for all x
(II) f''(x) > 0 for all x < 0
(III) (0, 1) is a point on the graph

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The Answer of Is this the graph of a function having the following properties?
(I) f'(x) < 0 for all x
(II) f''(x) > 0 for all x < 0
(III) (0, 1) is a point on the graph

Is This the Graph of a Function Having the Following