Question
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) 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?
Answers
Ryan
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
2)The graph never goes above y=0
3) horizontal line at x=0