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Jean Monnet worksheet - Linear function

A perfume bottle has a pyramidal shape with a square base with a side of 5 cm and a height of h=6 cm. What is the volume of the bottle? What is the volume of the bottle if its height is 5 cm? But8 cm? But 10 cm? Describe the function that defines the volume of the bottle depending on its height.

What is the maximum domain of definition of the function ?

The volume of the bottle with h=6 is

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The volume of the bottle with h=5 is

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Is V a strictly increasing function?

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What is the image of the function ?

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