Find All Critical Numbers for the Function $f ( x ) = \sqrt [ 3 ] { 9 - x ^ { 2 } }$

question 253

Multiple Choice

Find all critical numbers for the function $f ( x ) = \sqrt [ 3 ] { 9 - x ^ { 2 } }$ .

• A)0
• B)-3
• C)0, -3
• D)No Critical Number
• E)3
• F)3, -3
• G)0, 3, -3
• H)None of the above

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Definitions:

Serving Size

The standardized amount of food that helps inform nutritional content, often used in dietary guidelines and food labeling.

BMI

Body Mass Index, a measure used to classify individuals based on their body weight adjusted for their height, indicating whether they have a healthy weight, underweight, overweight, or obesity.

Obese

A medical condition characterized by excessive body fat that presents a risk to health, often defined as a Body Mass Index (BMI) of 30 or higher.

Very Slender

Describes an object or person that is notably thin or fine in width or build.