Question $14\mathrm{.}5$ Progress Check $1$

Let $y^2+y+3x+1=0.$ Near which points $(x_0,y_0)$ that

satisfy the equation does this implicitly define $yasa$

function $ofx?$

Select your answer from the options listed.

This equation implicitly defines $yas$ a function

$ofx$ near all points $(x_0,y_0)$ except $(0,0).$

This equation implicitly defines $yas$ a function

$ofx$ near all points $(x_0,y_0)$ except $(0,-\frac{1}{3}).$

This equation implicitly defines $yas$ a function

$ofx$ near all points $(x_0,y0)$ except $(-\frac{1}{4},-\frac{1}{2}).$

This equation implicitly defines $yas$ a function

$ofx$ near all points $(x_0,y_0)$ except $(-\frac{1}{3},0).$

This equation implicitly defines $yas$ a function

$ofx$ near all points $(x_0,y_0)$ except $(-\frac{1}{2},-\frac{1}{4}).$

This equation implicitly defines $yas$ a function

$ofxx0,y0$