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16-02-2019
Mathematics

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Give an example of a quadratic function has a maximum value. Explain how you know it has a maximum algebraically

Respuesta :

16-02-2019

Answer:

y = -x²

Step-by-step explanation:

The simplest quadratic I can think of is

y = -x²

It must have a maximum because as

x ⟶ -∞, y ⟶ -∞ and as

x ⟶ +∞, y ⟶ -∞.

There must be a maximum somewhere between the two extremes.

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