Question

What are the rules? help please

Answer 1

Answer and Explanation:

We can see that the given function is a horizontal line (y = -6) for all x-values, except when x = 0, at which point y = -5.

Therefore, we can declare the function using a piecewise definition as follows:

`f(x)=\begin{cases}-6 \ \text{ for } x \in \text{R}, \ x \\e 0 \\ -5 \ \text{ for } x=0\end{cases}`

Further Note

Notice that all real x-values except 1 is being denoted as x ∈ ℝ, except x = 0. If that looks unfamiliar, it can also be expressed with an inequality:

x < 0 < x