need help making the 2 graphs Sketch a possible graph of Y = f(x), using the giv

Question

need help making the 2 graphs

Sketch a possible graph of Y = f(x), using the given information about the derivatives y' =f'(x) and y'' = f'' (x). Assume that the function is defined and continuous for all real x. Hint: It is assumed that the answer can be shifted vertically by any value. Sketch a possible graph of Y = f (x), using the given information about the derivatives y' = f' (x) and y'' = f'' (x) . Assume that the function is defined and continuous for all real x. Hint: It is assumed that the answer can be shifted vertically by any value.

Explanation / Answer

when ever the first deriviative is equal to zero, that means it has a maximum or a minimum value. (like the base of a parabola) Where ever the second derivative is <0, the curve is concave down, which means it's like an upside down parabola and where the second derivative is >0, it's concave up, like a cUP or a right side up parabola. Also when the second derivative is =0, it's an inflection point, which means the graph is changing directions

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