I am currently getting ready to finish my first semester of a graduate program (was on track for Ph.D but that does not matter anymore). I made the decision to quit half way through the semester due to some family issues that came up. Anyway, ever since that, I pretty much lost all motivation to study with the persistence that I had before - up to the point where on a subconscious level my brain refuses to absorb any more information. I will likely be receiving at least 1 F for the semester. My question is this - after I leave the program I will be looking for job in industry - I am a Civil Engineer as an undergraduate. How will having an F on a 1 semester transcript in graduate school affect my job prospects?
Did you try seeing if you could formally withdraw, rather than do so "de facto"? A withdrawal means that you normally don't receive grades for courses (although some schools note a withdrawal while having a failing grade in a course).
The likelihood that a future employer will overlook this depends largely on who's doing the applicant screening. If your "direct boss" is handling the process, you have a chance of convincing them that the grades aren't reflective of your true abilities. On the other hand, if a human resources "specialist" is handling the screening process, a grade of F will unfortunately mean your application will probably end up in the "circular file."
You will be looking for a job in industry. I don't think your job prospects are completely determined by the F's on the transcript of your first semester of the graduate program. Of course, those F's hurt your chances. Your resume could be filtered out by the human resources when they see the F's on your graduate school transcript if they ask to see that transcript. But, they usually pay attention to your undergraduate transcript and your skills set. If your undergrad transcript is fine and you have the skills/experience they are looking for, you still have reasonably good job prospects.
On the other hand, if it is not too late to withdraw from the class, do it to avoid the permanent bad record. If it's too late, try your best to not to fail the class. I know it's hard after you have gone through the personal issues. But, you don't want to ask yourself the question "What if I tried?" years later.
Wish you good luck!