Describe curves by words

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I am trying to describe the general aspect of the following curves enter image description here

My ideas:

  1. The curves are continuous, and defined for positive values of x, and giving negative values.
  2. Have logarithmic growth (increase logarithmically)
  3. The curves become flatten as they approaches the x axis.

Does any one have other ideas for describing such curves?

Please feel free to point me if the ideas I mentioned are not suitable for describing the curves.

Thank you in advance.