How can user trigger links without clicking the button 'Take me to my ideal object!' or how can user open a link on slider value change or on mouseup ? Basically user Slide the ball and mouse up to open that range link.
// Setting custom points to slider
var values = [0, 1000,2000,4000,10000];
var input = document.getElementById('tierslider'),
    output = document.getElementById('tierslider2');
    
input.oninput = function(){
    output.innerHTML = values[this.value];
};
input.oninput();
// Redirect 
function redirectToLinks(elem){
  window.location.href = elem.dataset.baselink + values[input.value];
}<div id='slidecontainer'>
      <form>
          <span>500</span>
          <input type='range' min='0' max='4' value="0" step="1" id='tierslider'>
          <span>10000</span>
          <span id='tierslider2'></span>
      </form>
</div>
<a href='#' data-baselink='http://www.example.com/page?param=' id='DisplaySliderResult' onclick="redirectToLinks(this)">Take me to my ideal object!</a> 
    