Graph Of 1 Sqrt X

A role y is an output of certain operation over a variable, say x, such that information technology should give a unique value for whatsoever value of 10. Just, function can give aforementioned value for two different values of x. In a general sense, $ \sqrt{} $ is not a function, because for a single value of ten, 2 values for y are obtained for example $$\sqrt{16} = \pm 4$$. In order to arrive a role, appropriate domain for x and y are chosen such that $f:x \rightarrow y $ such that where $\sqrt{}$ is the function f with $x \in R^{+}$ and $y \in R^{+}$. And so, the graph mentioned in the question is obtained i.e curve on the right and upwardly side of the coordinate arrangement.

If the domain of y is defined as $ y \in R^{-} $ and domain of 10 remains same, so the curve would on right and downside of conventional coordinate system. If the function f maps such $\sqrt{}:x \rightarrow y$ for $x\in R^{-}$, so y have to be defined in circuitous plane such equally to make $\sqrt{}$ as a function i.e to give unique value of y.

If the same relation betwixt x and y is taken in reverse sense i.east $m:y \rightarrow ten$ such that $10 = g(y)=y^two$ here squaring is the function with $y \in R$ and $x \in R^{+} $. It is the equation of parabola rotated with its concave side towards positive ten-axis equally shown in the post-obit effigy. lazy dog