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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions1 Mark
Question
Check if the relation given by the equation represents $y$ as function of $x$.

$x+y^2=9$

✓

Answer

$\mathrm{x}+\mathrm{y}^2=9$
$\therefore \mathrm{y}^2=9-\mathrm{x}$
$\therefore \mathrm{y}= \pm \sqrt{9-x}$
$\therefore$ For one value of $\mathrm{x}$, there are two values of $\mathrm{y}$.
$\therefore \mathrm{y}$ is not a function of $\mathrm{x}$.

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