# What is the largest possible domain and the corresponding range for this function?

1. Jan 1, 2013

### qablos

y=1+x+x3

I 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.

2. Jan 1, 2013

### Zondrina

Re: What is the largest possible domain and the corresponding range for this function

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?

Last edited: Jan 1, 2013
3. Jan 1, 2013

### HallsofIvy

Staff Emeritus
Re: What is the largest possible domain and the corresponding range for this function

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.

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