Questions: Use the graph below to fill in each entry of the grid with positive, negative or zero.

Use the graph below to fill in each entry of the grid with positive, negative or zero.
Transcript text: Use the graph below to fill in each entry of the grid with positive, negative or zero.
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Solution

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Solution Steps

Step 1: Analyze the function's value at point A

At point A, the graph of f(x) is below the x-axis. This means that f(A) is negative.

Step 2: Analyze the function's first derivative at point A

At point A, the graph of f(x) has a negative slope. This means that f'(A) is negative.

Step 3: Analyze the function's second derivative at point A

At point A, the graph of f(x) is concave up. This means that f''(A) is positive.

Final Answer:

| | f | f' | f'' | | :------- | :-- | :-- | :-- | | A | - | - | + |

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