Unraveling the Mystery of y=1+x+x^3

[qablos]

y=1+x+x³I just don't know where to begin...
I've always struggled with domains and ranges.

Even if you could just point me in the right direction, that would be great!

Thanks.

 

[STEMucator]

The domain is the set of all possible x values for your function which don't cause problems. Think about this, are there any x values which your function will have a problem?

As for the range, it's the set of all possible y values your function can take on. Do your y values take on all of the real numbers or are there some which are not included?

 

[HallsofIvy]

Look at what happens to y as x goes to infinity and as x goes to negative infinity. This is problem is much simpler than I suspect you realize! If the problem were about the inverse function, that would be another matter.