Consider a following model for logistic regression: P $($y $=1|$x$,$ w$)=$ g$($w$0+$ w$1$x$)$

where g$($z$)$ is the logistic function.

In the above equation the P $($y $=1|$x; w$),$ viewed as a function of x$,$ that we can get by changing the parameters w$.$

What would be the range of p in such case?

a$.$

$(0,$ inf$)$

b$.$

$(-$inf,inf$)$

c$.$

$(0,1)$

d$.$

$(-$inf,$0)$