Homework Help: Math

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?

Math - Ryan, Saturday, February 26, 2011 at 3:45pm
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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