the graph of the second derivative f of a function f is shown. state the x - coordinates of the inflection…
the graph of the second derivative f of a function f is shown. state the x - coordinates of the inflection points of f. (enter your answers as a comma - separated list.)
Answer
Explanation:
Step1: Recall inflection - point definition
Inflection points of a function $f(x)$ occur where $f''(x)$ changes sign.
Step2: Analyze the graph of $f''(x)$
From the graph of $f''(x)$, we look for the $x$ - values where the graph of $f''(x)$ crosses the $x$ - axis (since this indicates a sign - change of $f''(x)$).
Step3: Identify the $x$ - coordinates
The graph of $f''(x)$ crosses the $x$ - axis at $x = 2,6,9$.
Answer:
2,6,9