I think b rock just supplied your answer. And I hate to nitpick, but again, this is not a function of a DAW, it is a function of a synth, whether or not included with a DAW.

YEs, like Sanderx. says, b rock has the answer, or at least something to try out. It's worth trying out even if you don't need the solution at the moment because once you see how easy it is to put a clip into rapture (or dimension pro for that matter)--and THEN you see/hear all the crazy OTHER things besides portamento that you can do with that clip once it's inside rapture--you'll get a whole bunch of ideas running around in your noggin that you may jump on now, or file away for future use--but you'll use them, fer sure! For one example, why stop at portamento once you're inside rapture? Add a modulation matrix setting to control, say, filter 1 resonance to change at the same time (along with the porto). Call it superporto or something catchy like that.
 
This cool suggestion from b rock is similar to the recent varispeed suggestion of anderton in another thread, where dim pro or rapture can be used to change a clip's sonic characteristics in musical (real) time, like the speeding up or slowing down of a mechanical audio tape player. There are many sonic possibilities that present themselves when you drop a clip, be it a sine wave or an entire track, into one of the sonar synths (dp or rapt). Why not drop a clip today and hear for yourself?

doriginal
I read through some of the answers to my question and here is the saw tooth that I made in FL Studio. You will hear the portamento right away. it is just a blurb. I used an FL Studio synth to create this but I was not able to do it with

I listened to your clip. That sound can be recreated with dim pro or rapture (or z3ta for that matter). In dim pro or rapture, either a) use a rising envelope shape on the pitch or b) use the step sequencer with many small steps (and smoothness) to make a more "custom" pitch shape. You can also use modulation matrix settings.
 
Here, doriginal (or should I call you.....lestat, bwahhahah), for examples, go into rapture and browse through any of the "sequences" groups--"sequences 01" or under either of the expansion packs. Try those out, they all use the step sequencer. Many are jumpy sounding, but to get the slide you want, either play with the steps (increase the number and make them more gradual) and/or up the "smooth" parameter to a high number. I think you'll hear the potential for what you want to do, or am I mistaken. Please advise.
 
ps, if using step sequencer, you can also make the steps Status "shot", meaning they only happen once at keypress, not repeatedly.

I listened to your clip.

I didn't.  Guilty (I was at "work").
 
And I think you're right, czyky.  I would approach this (recreating the audio example) with a Pitch EG or Pitch Step Generator solution.  It's so rapidly developing that it would take some real keyboard chops (or PRV note editing) to pull it off with classic mono/legato portamento.  it'd be easy to have the whole phrase develop in a Modulator; triggered by one note.  Load 017 - saw mk.wav in Multisamples, draw in a few EG nodes or StepGen steps in Shot mode, and you're there.
 
That's not to say that portamento doesn't have its place (like jkleban's Lucky Man / MiniMoog examples).  It's all "bending pitch" to some degree, but there are subtle differences among lag processor portamento, glides, glissandi, and extreme pitch bends.  Fortunately, it's all right there in synths like Rapture, and you can select the right tool for the right job.

b rock
You can load your own samples into Rapture and apply monophonic portamento.
Polyphony=0 (mono/legato).  Porta Time from 0.0 to 10.0 seconds.
 
And this base script below will work in Dimension Pro or Rapture for polyphonic portamento.  Place it alongside your samples, modify the <region>, Mod Wheel controls the rate.
 
//-------------------------------------------------------------------------------------------------
// Polyphonic Portamento Base SFZ File
//-------------------------------------------------------------------------------------------------

<region>
sample=013 - pulse mk.wav oscillator=on

// Replace 013 - pulse mk.wav above with the sound of your choice.
// Remove oscillator=on for use with larger one-shot Multisamples.
// Selecting mono/legato mode (Polyphony=0) in the GUI overrides the polyphonic portamento.

eg16_sustain=1
eg16_level0=0 eg16_time0=0
eg16_level1=1 eg16_time1_oncc1=10 eg16_shape1=1
eg16_glide_speed=.1
eg16_pitch=1200

// CC#1 (mod wheel) controls the portamento rate.
//-------------------------------------------------------------------------------------------------

Very cool!!! This goes in my SFZ file routines scrapbook.