Answer the following questions $($include explanation$)$

Suppose you trained a logistic regression classifier and attained the following model

$f(x,)=({}_0+{}_{1}x+{}_2{x}^2),$

where ${}_0=4,{}_1=-5,$ and ${}_2=1.$

$($a$)(6$ points$)$ For which values of $x$ will the classifier predict a value of $1.$

$($b$)(6$ points$)$ Assume each feature is shifted $2-$upwards $($add $2$ to each sample each feature$).$ Compute the new range of values of $x$ that predict $1.$

$($c$)(6$ points$)$ Predict the label for the following testing samples

$\backslash$table$[[x,0\mathrm{.}5,1\mathrm{.}5,3,6,2\mathrm{.}5,2\mathrm{.}7,7,3\mathrm{.}3]]$

$2$