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19 December, 20:55

Determine if the equation x - y4 = 1 defines y as a function of x

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  1. 20 December, 00:35
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    No.

    Step-by-step explanation:

    First solve for y:-

    x - y^4 = 1

    y^4 = x - 1

    y = + / - (x - 1) ^ (1/4)

    This is a one-to-many relation. For a given value of y there 2 values of x.

    So this is NOT a function.
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