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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?

  • Math -

    1) The graph is higher than 0, on the left side of the graph.

    2)The graph never goes above y=0

    3) horizontal line at x=0

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