$(e)$ The real line $\mathbb{R}$ with $[-1,1]$ collapsed to a point.
$(f)$ The real line $\mathbb{R}$ with $[-2,-1] \cup [1,2] $ collapsed to a point.
My answer for the first case is the same Real line because if I collapse the interval $[-1,1]$ i transfer it in a sigle point,and each diferent element is identify with their own equivalence class.
In the second case the result is a Circle with a line. the shape is like a Lollipop, the reason is i start with a line and when I begin with points of $[-2,-1] \cup [1,2] $ the interval $(-1,1)$ is the loop thatforms the lollipop, next when I leave of these inteval I can take other trajectory that don´t intersect the the circle and my first line that I draw Are my interpretations about the quotient right? Any help, hint or recomendation was very helpful