This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.

 Further Examples: Interval You can use Max and Min to find the endpoints of intervals. In[1]:= Out[1]= You can take the union and intersection of two or more intervals. In[2]:= Out[2]= In[3]:= Out[3]= Using IntervalMemberQ, you can check if an interval is contained in another. In[4]:= Out[4]= You can also check if a point belongs to an interval. In[5]:= Out[5]= You can do interval arithmetic with many functions. For example, this command reflects the fact that the square of any real number between -2 and 5 lies between 0 and 25. In[6]:= Out[6]= Taking the reciprocal gives two distinct intervals. In[7]:= Out[7]= You can use intervals in many kinds of functions. In[8]:= Out[8]= Some functions automatically generate intervals. In[9]:= Out[9]= With ordinary machine-precision arithmetic, this gives an incorrect result. In[10]:= Out[10]= The interval generated here, however, correctly includes the point 0. In[11]:= Out[11]= Interval arithmetic is useful in obtaining or proving bounds. Here we define a function ff, which depends on a parameter . In[12]:= This shows that ff is monotonically nonincreasing in x for all non-negative values of the parameter. In[13]:= Out[13]= In[14]:=