If you have learned C++, you must be familiar with function object or functor, means any object that can be called as if it is a function.
In C++,  an ordinary function is a function object, and so is a function pointer; more generally, so is an object of a class that defines operator(). In C++11 and greater, the lambda expression is the functor too.
Similarity, in Python, those functors are all callable. An ordinary function can be callable, a lambda expression can be callable, a functional.partial can be callable, the instances of class with a __call__() method can be callable.
Ok, go back to question : I have a variable, x, and I want to know whether it is pointing to a function or not.
If you want to judge weather the object acts like a function, then the callable method suggested by @John Feminella is ok.
If you want to judge whether a object is just an ordinary function or not( not a callable class instance, or a lambda expression), then the xtypes.XXX suggested by @Ryan is a better choice.
Then I do an experiment using those code:
#!/usr/bin/python3
# 2017.12.10 14:25:01 CST
# 2017.12.10 15:54:19 CST
import functools
import types
import pprint
Define a class and an ordinary function.
class A():
    def __call__(self, a,b):
        print(a,b)
    def func1(self, a, b):
        print("[classfunction]:", a, b)
    @classmethod
    def func2(cls, a,b):
        print("[classmethod]:", a, b)
    @staticmethod
    def func3(a,b):
        print("[staticmethod]:", a, b)
def func(a,b):
    print("[function]", a,b)
Define the functors:
#(1.1) built-in function
builtins_func = open
#(1.2) ordinary function
ordinary_func = func
#(1.3) lambda expression
lambda_func  = lambda a : func(a,4)
#(1.4) functools.partial
partial_func = functools.partial(func, b=4)
#(2.1) callable class instance
class_callable_instance = A()
#(2.2) ordinary class function
class_ordinary_func = A.func1
#(2.3) bound class method
class_bound_method = A.func2
#(2.4) static class method
class_static_func = A.func3
Define the functors' list and the types' list:
## list of functors
xfuncs = [builtins_func, ordinary_func, lambda_func, partial_func, class_callable_instance, class_ordinary_func, class_bound_method, class_static_func]
## list of type
xtypes = [types.BuiltinFunctionType, types.FunctionType, types.MethodType, types.LambdaType, functools.partial]
Judge wether the functor is callable. As you can see, they all are callable.
res = [callable(xfunc)  for xfunc in xfuncs]
print("functors callable:")
print(res)
"""
functors callable:
[True, True, True, True, True, True, True, True]
"""
Judge the functor's type( types.XXX). Then the types of functors are not all the same.
res = [[isinstance(xfunc, xtype) for xtype in xtypes] for xfunc in xfuncs]
## output the result
print("functors' types")
for (row, xfunc) in zip(res, xfuncs):
    print(row, xfunc)
"""
functors' types
[True, False, False, False, False] <built-in function open>
[False, True, False, True, False] <function func at 0x7f1b5203e048>
[False, True, False, True, False] <function <lambda> at 0x7f1b5081fd08>
[False, False, False, False, True] functools.partial(<function func at 0x7f1b5203e048>, b=4)
[False, False, False, False, False] <__main__.A object at 0x7f1b50870cc0>
[False, True, False, True, False] <function A.func1 at 0x7f1b5081fb70>
[False, False, True, False, False] <bound method A.func2 of <class '__main__.A'>>
[False, True, False, True, False] <function A.func3 at 0x7f1b5081fc80>
"""
I draw a table of callable functor's types using the data.

Then you can choose the functors' types that suitable.
such as:
def func(a,b):
    print("[function]", a,b)
>>> callable(func)
True
>>> isinstance(func,  types.FunctionType)
True
>>> isinstance(func, (types.BuiltinFunctionType, types.FunctionType, functools.partial))
True
>>> 
>>> isinstance(func, (types.MethodType, functools.partial))
False
insepct.getsourceon a variety of objects, and it actually matters not whether the object was callable but whether it was something that would give 'function' fortype(obj). Since google led me here, I'd say AsTeR's comment was the most useful answer (for me). There are plenty of other places on the internet for people to discover__call__orcallable. - tsbertalan