What Does the Extreme Value Theorem Allow Us to Conclude

question 25

Multiple Choice

What does the Extreme Value Theorem allow us to conclude about f if f is continuous on [-10, 80]? Mark all that apply.

• A)f has a global maximum on [-10, 80].
• B)f has a global minimum on [-10, 80].
• C)f has an inflection point on [-10, 80].
• D)None of the above

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Definitions:

Transpiration

How plants transport moisture from their roots to small holes located on the leaf undersides, converting to vapor and then releasing it into the atmosphere.

Xylem

The vascular tissue in plants that conducts water and dissolved nutrients from the roots to the rest of the plant.

Phloem

The portion of a plant's vascular system responsible for transporting sugars and other metabolic products downward from the leaves.

Nitrogen-Fixing Bacteria

Microorganisms capable of converting atmospheric nitrogen into compounds usable by plants.