Posted by **Hannah** on Saturday, February 26, 2011 at 3:40pm.

which of the following graphs could represent a function with the following 3 properties?

1) f(x)>0, for x<0

2) f'(x) is less than or equal to 0, for all x

3) f'(0)=0

I know that we cannot draw the graph but to figure this out I f(x)>0 would mean that the graph is above the x axis, and f'(x) is less than or equal to 0 would mean that the slope is negative. Is this correct?

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