Basic Examples

In[]:=
Test whether a basic power function is even:
[◼]
EvenFunctionQ
[x^2,x]
In[]:=
True
Out[]=
Test another power function:
[◼]
EvenFunctionQ
[x^3,x]
In[]:=
False
Out[]=
Test whether a constant function is even:
[◼]
EvenFunctionQ
[1,x]
In[]:=
True
Out[]=
Test whether the absolute value function is even:
[◼]
EvenFunctionQ
[Abs[x],x]
In[]:=
True
Out[]=
Test whether the sine function is even:
[◼]
EvenFunctionQ
[Sin[x],x]
In[]:=
False
Out[]=
Test whether the cosine function is even:
[◼]
EvenFunctionQ
[Cos[x],x]
In[]:=
True
Out[]=
Test whether a gaussian function is even:
[◼]
EvenFunctionQ
[Exp[-x^2],x]
In[]:=
True
Out[]=
Test a signed gaussian function:
[◼]
EvenFunctionQ
[Sign[x]Exp[-x^2],x]
In[]:=
False
Out[]=
Test whether a hyperbolic sine function of two variables is even:
[◼]
EvenFunctionQ
[Sinh[x+y],{x,y}]
In[]:=
True
Out[]=
Test whether the hyperbolic tangent function is even:
[◼]
EvenFunctionQ
[Tanh[x],x]
In[]:=
False
Out[]=
Test whether the error function is even:
[◼]
EvenFunctionQ
[Erf[x],x]
In[]:=
False
Out[]=
Test whether a Fresnel integral is even:
[◼]
EvenFunctionQ
[FresnelC[x],x]
In[]:=
False
Out[]=
Test whether a shifted Fresnel integral is even:
[◼]
EvenFunctionQ
[FresnelC[x]+1,x]
In[]:=
False
Out[]=