Sketch the graph of a function f for which f (0) = - 1, f ' (0) = 0, f ' (x) <0 if x 0 if x> 0

To sketch the graph of the function with an inequality. First is to analyze the different inequality.

If f (0) = 0 the line is in the center of the graph in the origin.,

if f (x) <0 the line is decreasing

if f (x) >0 the line is increasing.

I hope that i answered your question