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Query

4.1: Ufafanuzi wa Kazi

  • Page ID
    164647
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    Ufafanuzi: Kazi

    Kazi ni sheria ambayo inateua kila kipengele katika seti ya maadili ya pembejeo (uwanja), kipengele kimoja na kimoja tu katika seti ya maadili ya pato (upeo).

    Kuamua kama kila moja ya equations zifuatazo ni kazi:

    1. \(y = x^2 + 1\)
    2. \(y^2 = x + 1\)

    Suluhisho

    1. Kuona matokeo ya equation hii, basi x = 3.

    \(\begin{aligned} y &= x^2 + 1 \\ y &= 3^2 + 1 \\ y &= 9 + 1 \\ y &= 10\end{aligned}\)

    Thamani yoyote aliingia kwa\(x\) mavuno hasa thamani moja kwa\(y\).

    Kuna suluhisho moja tu kwa\(y\),\(y = 10\).

    \(y = x^2 + 1\)ni kazi!

    1. Kuona matokeo ya equation hii, kwa mara nyingine tena basi\(x = 3\).

    \(\begin{aligned} y^2 &= x + 1 \\ y^ 2 &= 3 + 1 = 4 \\ y &= \sqrt{4 } \\ y &= 2 \text{ or } y = −2\end{aligned}\)

    Thamani yoyote iliyoingia kwa\(x\) si mavuno hasa thamani moja kwa ajili ya\(y\). Kuna ufumbuzi mbili kwa\(y\),\(y = 2\) na\(y = −2\).

    \(y^2 = x + 1\)ni NOT kazi!