Looking for a function

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shtrudelppl

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Can you think of a function with f(0)=0, f'(0)=0 and which is bounded on f'' from both sides ?
 
y = 0?

What does "bounded on f"" mean? Do you mean f" is bounded?
 
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Okay. Any idea, besides the one I suggested?
 
shtrudelppl said:
Can you think of a function with f(0)=0, f'(0)=0 and which is bounded on f'' from both sides ?
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Try drawing it. f(0) = 0 means the f(x) contains the point (0,0). f' (0) = 0 means the slope of the tangent line at (0,0) is 0. f" is bounded on both sides of what??

If f(x) is a quadratic equation, then what type of function will f"(x) be???
 
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