Math
posted by Hannah .
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?

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