# Math Help - calculus homework help... sketching a graph of f

1. ## calculus homework help... sketching a graph of f

The figure shows the graph of f" . Sketch agraph of f. (The answer is not unique.

2. ## Re: calculus homework help... sketching a graph of f

How about $f(x) = 3x^2 - \frac{x^3}{3}$

$f'(x) = 6x - x^2$

$f''(x) = 6 - 2x$ which is the graph in ur picture

3. ## Re: calculus homework help... sketching a graph of f

Originally Posted by jakncoke
How about $f(x) = 3x^2 - \frac{x^3}{3}$

$f'(x) = 6x - x^2$

$f''(x) = 6 - 2x$ which is the graph in ur picture
I don't think the OP is supposed to use integration of obtain a member of the family of curves, but rather to use the implications of the given graph. Also, this topic has been posted twice.

4. ## Re: calculus homework help... sketching a graph of f

jakncoke how did you get f(x) = 3x^2 - x^3/3?