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10 July, 10:55

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

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  1. 10 July, 13:20
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    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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