Question

Determine whether the equation defines y as a function of $x$.

localid="1645890897117" $y=\pm \sqrt{1-2x}$

Short answer

The given equation is not define a function.

Step-by-step solution

Step 1. Given information

In the given question we have to determine whether the equation defines y as a function of x.

$y=\pm \sqrt{1-2x}$

Step 2. The given equation is y=±1-2x

For values of x between -1 and 1, two values ofy result.

Step 3. For example, if x=0

$$\begin{gathered} y=\pm \sqrt{1-2\times 0} \\ y=\pm 1 \end{gathered}$$

so two different outputs result from the same input. This means that the equation $y=\pm \sqrt{1-2x}$does not define a function.