nctions on r (cosh: purple;
          sinh: red; tanh: blue)</strong></span></em></span>
        </p></blockquote></div>
<div class="blockquote"><blockquote class="blockquote"><p>
          <span class="inlinemediaobject"><img src="../../../graphs/hyperbolic.png"></span>
        </p></blockquote></div>
<p>
        The hyperbolic sine is one to one on the set of real numbers, with range
        the full set of reals, while the hyperbolic tangent is also one to one on
        the set of real numbers but with 