Basic Examples 
(12)
 

Find the parity of a basic power function:
In[35]:=
[◼]
FunctionParity
[x^2,x]
Out[35]=
1
———
Test another power function:
In[1]:=
[◼]
FunctionParity
[x^3,x]
Out[1]=
-1
———
Show that a constant function has even parity:
In[2]:=
[◼]
FunctionParity
[1,x]
Out[2]=
1
———
Find the parity of a rational function:
In[1]:=
[◼]
FunctionParity
[x/(x^2+1),x]
Out[1]=
-1
———
Find the parity of the absolute value function:
In[29]:=
[◼]
FunctionParity
[Abs[x],x]
Out[29]=
1
———
Find the parity of a trigonometric function:
In[36]:=
[◼]
FunctionParity
[Sin[x+Pi/4]+Cos[x+Pi/4],x]
Out[36]=
1
———
Find the parity of a gaussian function:
In[5]:=
[◼]
FunctionParity
[Exp[-x^2],x]
Out[5]=
1
———
Test a signed gaussian function:
In[6]:=
[◼]
FunctionParity
[Sign[x]Exp[-x^2],x]
Out[6]=
-1
———
Find the parity of the hyperbolic tangent function:
In[7]:=
[◼]
FunctionParity
[Tanh[x],x]
Out[7]=
-1
———
Find the parity of the error function:
In[34]:=
[◼]
FunctionParity
[Erf[x],x]
Out[34]=
-1
———
Find the parity of a Fresnel integral:
In[38]:=
[◼]
FunctionParity
[FresnelC[x],x]
Out[38]=
-1
———
Find the parity of a shifted Fresnel integral:
In[39]:=
[◼]
FunctionParity
[FresnelC[x]+1,x]
Out[39]=
Undefined

Scope 
(3)
 


Properties and Relations 
(2)
 
