Function Repository Resource:

# EvenFunctionQ

Determine whether an expression is an even function of the given variable or variables

Contributed by: Wolfram|Alpha Math Team
 EvenQ[f[x],x] returns True if f[x] is an even function of x, and returns False otherwise.

## Examples

### Basic Examples

Test whether a basic power function is even:

 In[1]:=
 Out[1]=

Test another power function:

 In[2]:=
 Out[2]=

Test whether a constant function is even:

 In[3]:=
 Out[3]=

Test whether the absolute value function is even:

 In[4]:=
 Out[4]=

Test whether the sine function is even:

 In[5]:=
 Out[5]=

Test whether the cosine function is even:

 In[6]:=
 Out[6]=

Test whether a Gaussian function is even:

 In[7]:=
 Out[7]=

Test a signed Gaussian function:

 In[8]:=
 Out[8]=

Test whether a hyperbolic sine function of two variables is even:

 In[9]:=
 Out[9]=

Test whether the hyperbolic tangent function is even:

 In[10]:=
 Out[10]=

Test whether the error function is even:

 In[11]:=
 Out[11]=

Test whether a Fresnel integral is even:

 In[12]:=
 Out[12]=

Test whether a shifted Fresnel integral is even:

 In[13]:=
 Out[13]=