[math] \( \newcommand\feature{x} [/math]

Consider the source codes below for five different Python functions that read in the numeric feature [math]\feature[/math], perform some computations that result in a prediction [math]\hat{\truelabel}[/math].

How large is the hypothesis space that is constituted by all maps that can be represented by one of those Python functions.

def func1(x):
hat_y = 5*x+3
return hat_y

def func2(x):
tmp = 3*x+3 
hat_y = tmp+2*x
return hat_y

def func3(x):
tmp = 3*x+3 
hat_y = tmp-2*x
return hat_y

def func4(x):
tmp = 3*x+3 
hat_y = tmp-2*x+4
return hat_y

def func5(x):
tmp = 3*x+3 
hat_y = 4*tmp-2*x
return hat_y