Respuesta :

Answer:

The function is [tex]f(x)=\frac{1}{12}x;x\neq0[/tex] and [tex]f(x)=1;\ x=0[/tex]

Step-by-step explanation:

The first thing to notice is that the domain of the function is divided in x=0 and x≠0. Then, when the value of x is 0, the value of f(x) is 1, which is clear in the question.

On the other hand, for all values of x but zero (this means x≠0), the function is defined as 1/12 of the slope, and the intercept is zero because it doesn't say anything about it.

Then, for x≠0, the function is defined as

[tex]f(x)=\frac{1}{12}x;x\neq0[/tex]