frequency response

It does, but you need to be aware of what Nyquist's sampling theorem tells you. And that is that in order to reproduce any frequency, you need the sampling rate of your file to be twice this at a minimum. So if you want to make a sine wave with a frequency of 70kHz, you need a sample rate of at least 140k. Sample rates come in fixed standard sizes, and the next ones above this are 176.4k and 192k, so your generated file would have to be at one of those rates. That's the easy bit, and yes Audition will do this. What's not so easy is that in order to reproduce these files, you'll need a sound device that can handle these rates, and with a flat(ish) response way beyond the audio range. They are available, but not that cheaply. I would not expect any built-in sound device in a laptop to be able to get anywhere near this level of performance, FWIW.

But when you generate any file, you'll always find the frequency is limited to half of the sample rate of it, whatever it is. So 44.1k files will, as you've observed, only show frequencies up to 22.05kHz.