question\nthe graph of $f(x)$ is given below. on what interval(s) is the second derivative $f(x)$ positive…

question\nthe graph of $f(x)$ is given below. on what interval(s) is the second derivative $f(x)$ positive? give your answer in interval notation, and use commas to separate multiple intervals if necessary.\n\nprovide your answer below:\n\n$f(x)$ is positive over

question\nthe graph of $f(x)$ is given below. on what interval(s) is the second derivative $f(x)$ positive? give your answer in interval notation, and use commas to separate multiple intervals if necessary.\n\nprovide your answer below:\n\n$f(x)$ is positive over

Answer

Explanation:

Step1: Recall the concavity - second derivative relationship

If (f''(x)>0), the function (y = f(x)) is concave up.

Step2: Analyze the graph for concavity

Looking at the graph of (y=f(x)), we observe the intervals where the graph is concave up.

Step3: Determine the interval

From the graph, we can see that the function (y = f(x)) is concave up on the interval ((-1,\infty))

Answer:

((-1,\infty))